Problems on ages is the part of Arithmetic Aptitude and important section of the competitive exam syllabus, to solve such questions, you are required the knowledge of linear equations. Sometimes it is easier to solve the questions by taking the given choices in account but this hitandtrial method proves costly sometimes. Here we are giving you some easier as well as quicker way to solve this type of problems.
 If the current age is x, then n times the age is nx.
 If the current age is x, then age n years later/hence = x + n.
 If the current age is x, then age n years ago = x  n.
 The ages in a ratio a : b will be ax and bx.
 If the current age is x, then of the age is
Age Problems Involving A Single Person
Question: Five years ago, Arun’s age was half of the age he will be in 8 years. How old is he now?
Solution:
Step 1: Let x be Arun’s age now. Look at the question and put the relevant expressions above it.
Five year ago Arun's age:
Arun’s age was half of the age he will be in 8 years:
Step 2: Write out the equation.
Answer: Arun is now 18 years old.
Age Problems Involving More Than One Person
 Example 1
The age of the Mother 3 years ago was 7 times the age of his daughter. At present the Mother’s age is five times that of his son. What are the present ages of the Mother and the daughter?
Solution
Let the present age of daughter= x years.
Then, the present age of Mother= 5x years.
3 years ago,
7 (x – 3) = 5x – 3
or, 7x – 21 = 5x – 3
or, 2x = 18
∴ x = 9 years
Therefore, daughter’s age = 9 years.
Mother’s age = 45 years.
 Example 2
The average age of Salman, Rishi, Akashy, Amit and Ritik is 28 years. The average age of Amit and Rtik is 25 years. What is the average age of Salman, Rishi and Akashy ?
Solutions:
Here 5 persons' average ( Salman, Rishi, Akashy, Amit and Ritik) age is = 28 Years.
That means their total age = 5 X 28 = 140 Years.
Similarly, average age of two persons (Amit and Ritik) is 25 years.So their total age = 25 X 2 = 50 Years.
here 140 years is the total age of 5 persons ( Salman, Rishi, Akashy, Amit and Ritik)
50 years is the total age of 2 persons (Amit and Ritik)
So, the total age of Salman, Rishi, Akashy = Total age of (Salman, Rishi, Akashy, Amit and Ritik)  Total age of Amit and Ritik)
= 14050 = 90 years.
Average age of these 3 persons = 90/3 The average age of Salman, Rishi and Akashy = 30 Years
 Example 3
At present the age of the Mother is five times that of the age of his son. Three years hence, the Mother’s age would be four times that of his son. Find the present ages of the Mother and the son.
Solution:
Let the present age of son = x years.
Then, the present age of father = 5x years.
3 years hence,
4(x + 3) = 5x + 3
or, 4x + 12 = 5x + 3
∴ x = 9 years.
Therefore, son’s age = 9 years and father’s age = 45 years.
 Example 4
The ratio between the ages of Ram and Rohan is 5:8 respectively and difference between their ages after 5 years will be 12 years. What is the present age of Ram ?
Solution :
Usually for these type of questions students start with present age as X and adding 5 to get the ages after 5 years and later solve those equations. But its very time taking procedure.
A simple logic here is if the age difference between you and your friend is 8 years, after 5 or 10 years also the difference will be same.
the ratio between their ages is 5 : 8
That means their actual ages will be some 5X and 8X
Then the difference between their ages is 5X8X
in this question it is given that the difference is 12 years
= 5X8X = 12
= 3X=12 = X = 4
So obviously Ram's age = 5(4) = 20
 Example 5
Yogesh is 30 years younger than his Father. Five years ago, Yogesh was 1/4 as old as his father was. How old is Yogesh today ?
Solution :
5 years ago the ratio between their ages was Yogesh : Mother = 1X : 4X
we know that Yogesh is 30 years younger than his mother. That means the difference between their ages is 30.
= 3X = 30
= X = 10.
But this is the age of 5 years ago. So, the present age will be = 10+5 = 15 Years
Problems on Ages Questions from Previous Year Exams
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 Review

Question 1 of 40
1. Question
Sushil was thrice as old as Sneha 6 years back. Sushil will be times as old as Sneha 6 years hence. How old is Sneha today?
Correct
Let Sneha age 6 years back = x.
Then, Sushil age 6 years back = 3x.
(x + 6 + 6) = (3x + 6 + 6)
Hence 5(x + 12) = 3(3x + 12) so x = 6.
Sneha today = (x + 6) years = 6 + 6 = 12 years.
Incorrect
Let Sneha age 6 years back = x.
Then, Sushil age 6 years back = 3x.
(x + 6 + 6) = (3x + 6 + 6)
Hence 5(x + 12) = 3(3x + 12) so x = 6.
Sneha today = (x + 6) years = 6 + 6 = 12 years.

Question 2 of 40
2. Question
The age of father 10 years ago was thrice the age of his son. Ten years hence, the father’s age will be twice that of his son. The ratio of their present ages is:
Correct
Let the ages of father and son 10 years ago be 3x and x years respectively.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
3x + 20 = 2x + 40
x = 20.
Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.
Incorrect
Let the ages of father and son 10 years ago be 3x and x years respectively.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
3x + 20 = 2x + 40
x = 20.
Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.

Question 3 of 40
3. Question
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages. [Bank P.O. 1991]
Correct
Let As age 10 years ago = x.
Then, Bs age 10 years ago = 2x.
hence x = 5. Total of their present ages =(x + 10 + 2x + 10)
(3x + 20) = 35 years.Incorrect
Let As age 10 years ago = x.
Then, Bs age 10 years ago = 2x.
hence x = 5. Total of their present ages =(x + 10 + 2x + 10)
(3x + 20) = 35 years. 
Question 4 of 40
4. Question
The ratio of the ages of Meena and Meera is 4 : 3. The sum of their ages is 28 years. The ratio Of their ages after 8 years will be . [Central Excise ]
Correct
Let Meena age = 4x and Meera age = 3x.
Then, 4x + 3x = 28
7x = 28
x = 4
Meena age = 16 years and Meera age = 12 years.
Ratio of their ages after 8 years = (16 + 8): (12 + 8) = 24 : 20 = 6 : 5.
Incorrect
Let Meena age = 4x and Meera age = 3x.
Then, 4x + 3x = 28
7x = 28
x = 4
Meena age = 16 years and Meera age = 12 years.
Ratio of their ages after 8 years = (16 + 8): (12 + 8) = 24 : 20 = 6 : 5.

Question 5 of 40
5. Question
If 6 years are subtracted from the present age of Gulzar and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Mahesh whose age is 5 years, then what is the present age of Gulzar . [Bank P.O. 1993]
Correct
Let Gulzar age are x years
Anups age =(5  2)years = 3 years.
Then
x  6 = 54
x = 60
Incorrect
Let Gulzar age are x years
Anups age =(5  2)years = 3 years.
Then
x  6 = 54
x = 60

Question 6 of 40
6. Question
Pushpa is twice as old as Rita was 2 years ago. If the difference of their ages be 2 years, how old is Pushpa today 7. [Railways 1991]
Correct
Let Rita age 2 years ago = x years.
Pushpa age now = 2x years.
2x  (x + 2) = 2 so x = 4.
Now Pushpas age = 2x = = 8 years
Incorrect
Let Rita age 2 years ago = x years.
Pushpa age now = 2x years.
2x  (x + 2) = 2 so x = 4.
Now Pushpas age = 2x = = 8 years

Question 7 of 40
7. Question
The total of the ages of A, B and C at present is 90 years. Ten years ago, the ratio of their ages was 1: 2: 3. What is the age of B at present?. [Bank P.O. 1993]
Correct
Let their ages 10 years ago is x, 2x and 3x years.
10 + 2x + 10 + 3x + 10 = 90
Therefore x = 10
B’s present age = (2x + 10) = = 30 years.
Incorrect
Let their ages 10 years ago is x, 2x and 3x years.
10 + 2x + 10 + 3x + 10 = 90
Therefore x = 10
B’s present age = (2x + 10) = = 30 years.

Question 8 of 40
8. Question
The ratio of the ages of Swati and Varun is 2: 5. After 8 years, their ages will be in the ratio of 1 : 2. The difference in their present ages (in years) is [C.B.1. 1993]
Correct
Let Swati age = 2Χ and Varuns age = 5Χ
2(2x + 8) = (5x + 8)
= 4x + 16 = 5x + 8
Χ = 8.
Swati age = 16 years
and Varun age = 40 years
Difference of their ages = 24 years.
Swati age = 16 years and Varun age = 40 years.
Difference of their ages = 40  16 years = 24 years.
Incorrect
Let Swati age = 2Χ and Varuns age = 5Χ
2(2x + 8) = (5x + 8)
= 4x + 16 = 5x + 8
Χ = 8.
Swati age = 16 years
and Varun age = 40 years
Difference of their ages = 24 years.
Swati age = 16 years and Varun age = 40 years.
Difference of their ages = 40  16 years = 24 years.

Question 9 of 40
9. Question
Jayesh is as much younger to Anil as he is oder to Prashant. If the sum of the ages of Anil and Prashant is 48 years, what is the age of Jayesh. [Bank P.O. 1991]
Correct
Anil  Jayesh = Jayesh  prashant or Anil + Prashant =2 Jayesh .So 2 Jayesh = 48 or Jayesh = 24.
Incorrect
Anil  Jayesh = Jayesh  prashant or Anil + Prashant =2 Jayesh .So 2 Jayesh = 48 or Jayesh = 24.

Question 10 of 40
10. Question
A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is [Hotel Management]
Correct
Let sons age = Χ. Then, fathers age = 2x.
20 years ago the age are
12(x—20) = (2x  20)
12x  240 = 2x  20
10x = 220
x = 22
Fathers present age = 2x = = 44 years.
Incorrect
Let sons age = Χ. Then, fathers age = 2x.
20 years ago the age are
12(x—20) = (2x  20)
12x  240 = 2x  20
10x = 220
x = 22
Fathers present age = 2x = = 44 years.

Question 11 of 40
11. Question
Ratio of Ashok age to Sandeep age is 4 : 3. Ashok will be 26 years old after 6 years. How old is Sandeep now?. [Railways 1989]
Correct
The ratio of Ashok and Sandeep ages be 4x and 3x years.
Now 4x + 6 = 26 hence x = 5
so Age of Sandeep = 3x = = 15 years
Incorrect
The ratio of Ashok and Sandeep ages be 4x and 3x years.
Now 4x + 6 = 26 hence x = 5
so Age of Sandeep = 3x = = 15 years

Question 12 of 40
12. Question
One year ago, Mrs Promila was four times as old as her daughter Swati. Six years hence, Mrs Promilas age will exceed her daugther’s age by 9 years. The ratio of the present ages of Promila and her daughter is [C.B.I. 1993)
Correct
Let Swati age 1 year ago = x .
Then, Promila age 1 year ago = 4x .
(4x + 6)  ( x + 6) = 9 or x = 3.
Present age of Promila 4x + 1 = (12 + 1) years = 13 years.
Present age of Swati = (3 + 1) years = 4 years.
Ratio of their ages = 13 : 4.
Incorrect
Let Swati age 1 year ago = x .
Then, Promila age 1 year ago = 4x .
(4x + 6)  ( x + 6) = 9 or x = 3.
Present age of Promila 4x + 1 = (12 + 1) years = 13 years.
Present age of Swati = (3 + 1) years = 4 years.
Ratio of their ages = 13 : 4.

Question 13 of 40
13. Question
The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. The present age of father and son, respectively are [Hotel Management]
Correct
Let sons age = x years
Then fathers age = (45  Χ) years.
(Χ  5)(45 Χ 5) = 4(45  Χ  5)
(Χ  5) = 4
Therefore Χ = 9
Their ages are 36 years and 9 years.
Incorrect
Let sons age = x years
Then fathers age = (45  Χ) years.
(Χ  5)(45 Χ 5) = 4(45  Χ  5)
(Χ  5) = 4
Therefore Χ = 9
Their ages are 36 years and 9 years.

Question 14 of 40
14. Question
Average age of A and B is 24 years and average age of B, C and D is 22 years. The sum of the ages of A, B, C and D is [Bank P.O. 1992]
Correct
A + B = (24 2) = 48 and B + C + D = (22 3) = 66
With this data, we can not find A + B + C + D.
So, the data is inadequate,
Incorrect
A + B = (24 2) = 48 and B + C + D = (22 3) = 66
With this data, we can not find A + B + C + D.
So, the data is inadequate,

Question 15 of 40
15. Question
In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is[L.I.C. 1989]
Correct
Let B age = x years. Then, As age = (x + 9) years.
(x + 9 + 10) = 2(x  10)
x + 19 = 2x  20
x = 39
Present age of B = 39 years.
Incorrect
Let B age = x years. Then, As age = (x + 9) years.
(x + 9 + 10) = 2(x  10)
x + 19 = 2x  20
x = 39
Present age of B = 39 years.

Question 16 of 40
16. Question
The average age of 12 students is 20 years if the age of one more student is included, the average decreases by 1,What is the age of the new student?. [Bank P.O. 1991]
Correct
New average = (20  1) = 19.
Age of new student = (13 19  12 20) years = 7 years
Incorrect
New average = (20  1) = 19.
Age of new student = (13 19  12 20) years = 7 years

Question 17 of 40
17. Question
Sneha age is of her fathers age. Sneha fathers age will be twice of Vimal age after 10 years. If Vimal eighth birthday was celebrated two years before, then what is Sneha present age? [Bank P.O. 1992]
Correct
Vimal age after 10 years = (8 + 2 + 10) years = 20 years.
Sneha father’s age after 10 years = 40 years.
Sneha father’s present age = 30 years.
Sneha age= 30 years = 5 years.
Incorrect
Vimal age after 10 years = (8 + 2 + 10) years = 20 years.
Sneha father’s age after 10 years = 40 years.
Sneha father’s present age = 30 years.
Sneha age= 30 years = 5 years.

Question 18 of 40
18. Question
The average age of an adult class is 40 years. Twelve new students with an average age of 32 years join the class, thereby decreasing the average of the class by 4 years. The original strength of the class was. [Assistant Grade]
Correct
Let, original strength = x.
= 36
40x +384 = 36x + 432
40x  36x = 432  384
4x = 48
x = 12
original strength x = 12
Incorrect
Let, original strength = x.
= 36
40x +384 = 36x + 432
40x  36x = 432  384
4x = 48
x = 12
original strength x = 12

Question 19 of 40
19. Question
The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively [N.D.A. 1994]
Correct
Let their ages be x and (x + 20) years.
5 year before the ages be 5 (x 5) = (x + 20  5) 4x = 40 and x = 10.
Their present ages are 30 years and 10 years.
Incorrect
Let their ages be x and (x + 20) years.
5 year before the ages be 5 (x 5) = (x + 20  5) 4x = 40 and x = 10.
Their present ages are 30 years and 10 years.

Question 20 of 40
20. Question
Ten years ago, Chandrawati s mother was four times older than her daughter. After ten years, the mother will be twice older than daughter. The present age of Chandrawati is [Bank P.O. 1990]
Correct
Let Chandrawatis age 10 years ago is x years.
Her mothers age 10 years ago 4x.
(4x + 10) + 10 = 2(x + 10 + 10) or 2x = 20 or x = 10.
Present age of Chandrawati (x + 10) = 20 years.
Incorrect
Let Chandrawatis age 10 years ago is x years.
Her mothers age 10 years ago 4x.
(4x + 10) + 10 = 2(x + 10 + 10) or 2x = 20 or x = 10.
Present age of Chandrawati (x + 10) = 20 years.

Question 21 of 40
21. Question
The ratio of Vimal age and Aruna age is 3 : 5 and the sum of their ages is 80 years. The ratio of their ages after 10 years will be [Bank P.O. 1990]
Correct
Let Vimal and Aruna ages be 3x and 5x years.
Then,3x + 5x = 80 so x = 10
Ratio of their ages after 10 years = (3x+ 10) : (5x+ 10)
40 : 60 = 2 : 3
Incorrect
Let Vimal and Aruna ages be 3x and 5x years.
Then,3x + 5x = 80 so x = 10
Ratio of their ages after 10 years = (3x+ 10) : (5x+ 10)
40 : 60 = 2 : 3

Question 22 of 40
22. Question
The ages of Ram and Mukta are in the ratio of 3 : 5. After 9 years, the ratio of their ages will becomes 3 :4. The present age of Mukta (in years) is. [Assistant Grade]
Correct
Let Ram age = 3x and Mukta age = 5x.
4(3x + 9) = 3(5x + 9)
12x + 36 = 15x + 27
3x = 9
x = 3
Mukta age = 5x = = 15 years
Incorrect
Let Ram age = 3x and Mukta age = 5x.
4(3x + 9) = 3(5x + 9)
12x + 36 = 15x + 27
3x = 9
x = 3
Mukta age = 5x = = 15 years

Question 23 of 40
23. Question
Mohit is younger than Sohit by 4 years. If their ages are in the respective ratio of 3 : 5, How old is Mohit ?
Correct
Let Sohit age be x years. then, Mohit age = (x  4) years.
so,
=> 5x  20 = 3x
=> 5x  3x = 20
=> 2x = 20
=> x = 10
Hence, Mohit age = (x 4) = 10  6 = 6 years.
Incorrect
Let Sohit age be x years. then, Mohit age = (x  4) years.
so,
=> 5x  20 = 3x
=> 5x  3x = 20
=> 2x = 20
=> x = 10
Hence, Mohit age = (x 4) = 10  6 = 6 years.

Question 24 of 40
24. Question
The ratio between the present ages of A and B is 3 : 5 respectively. If the difference between B's present age and A's after 7 year is 3 what is the total of A's and B's present age ?
Correct
Let the present A and B be 3x year and 5x year respectively.
Then, 5x  (3x + 7) = 3
5x  3x  7 = 3.
2x  7  3 = 2x = 10
x = 5
Required Sum = 3x + 5x = 8x = 8 5 = 40 years.
Incorrect
Let the present A and B be 3x year and 5x year respectively.
Then, 5x  (3x + 7) = 3
5x  3x  7 = 3.
2x  7  3 = 2x = 10
x = 5
Required Sum = 3x + 5x = 8x = 8 5 = 40 years.

Question 25 of 40
25. Question
At present the ratio between the ages of Rahul and Nirdosh is 2 : 1 after 7 years, Rahul age will be 21 years. what is the age of Nirdosh at present ?
Correct
Let the present age of Rahul and Nirdosh be 2x and x years respectviely.
Then, 2x + 7 = 21
x = 7.
Nirdosh age is 7.
Incorrect
Let the present age of Rahul and Nirdosh be 2x and x years respectviely.
Then, 2x + 7 = 21
x = 7.
Nirdosh age is 7.

Question 26 of 40
26. Question
Present age of A and B are in the ratio of 6 : 7 respectively. 8 years hence, the ratio of ages will become 7 : 8 respectively. What is A's present age in years ?
Correct
Let the present ages of A and B be 6x and 7x years respectively.
=> 48x + 64 = 49x + 56
=> 64  56 = 49x  48x
=> x = 8
So, A's present age = 6x = 6 × 8 = 48 years
Incorrect
Let the present ages of A and B be 6x and 7x years respectively.
=> 48x + 64 = 49x + 56
=> 64  56 = 49x  48x
=> x = 8
So, A's present age = 6x = 6 × 8 = 48 years

Question 27 of 40
27. Question
The ratio ages of a man and his wife is 5 : 4. After six years, this ratio will be 4 : 3 at the time of marriage, the ratio was 7 : 5, then how many years ago were they married ?.
Correct
Let the present ages of the man and his wife be 5x and 4x respectively.
Then ,
15x + 18 = 16x + 24
x = 6
So, their present ages are 30 years and 24 years respectively.
Incorrect
Let the present ages of the man and his wife be 5x and 4x respectively.
Then ,
15x + 18 = 16x + 24
x = 6
So, their present ages are 30 years and 24 years respectively.

Question 28 of 40
28. Question
The ratio between the present ages of X and Y is 3 : 2 respectively. the ratio between X's age 5 years ago and Y's age 5 years hence is 1 : 1. What is the ratio between X's 4 years hence and Y's 4 years ago ?
Correct
Let the present ages of X and Y be 3x and 2x year respectively.
3x  5 = 2x  5
x = 10
Therefore Required ratio = (3x + 5) : (3x  5) = 35 : 25 = 7 : 5.
Incorrect
Let the present ages of X and Y be 3x and 2x year respectively.
3x  5 = 2x  5
x = 10
Therefore Required ratio = (3x + 5) : (3x  5) = 35 : 25 = 7 : 5.

Question 29 of 40
29. Question
Two years ago a man was 6 times as old as his son. After 18 years, he will be twice as old as his son. Their present ages (in years) are. [N.D.A. 1992]
Correct
Let sons age 2 years ago be x.
Mans age 2 years ago = 6x.
2(x + 2 + 18) = (6x + 2 + 18) hence 4x = 20 so Χ = 5.
Their present ages are (6x + 2) and (x + 2) i.e. 32 years and 7 years.
Incorrect
Let sons age 2 years ago be x.
Mans age 2 years ago = 6x.
2(x + 2 + 18) = (6x + 2 + 18) hence 4x = 20 so Χ = 5.
Their present ages are (6x + 2) and (x + 2) i.e. 32 years and 7 years.

Question 30 of 40
30. Question
Kamla got married 6 years ago. Today her age is 1.25 times her age at the time of marriage. Her sons age is times her age. Her sons age is [Bank P.O. 1988]
Correct
Let Kamla age 6 years ago = x years.
Kamla present age = (x + 6) years.
x+6= x or x = 24.
Kamla present age= 30 years.
Sons present age = years = 3 years.Incorrect
Let Kamla age 6 years ago = x years.
Kamla present age = (x + 6) years.
x+6= x or x = 24.
Kamla present age= 30 years.
Sons present age = years = 3 years. 
Question 31 of 40
31. Question
The ratio between the present ages of A and B is 8 : 9. If B is 5 years old than A, what will be the ratio of the ages of A and B after 5 years.
Correct
Let A's age and B's age be 8x years and 9x years respectively
then, 9x  8x = 5x x = 5.
Required ratio = (8x + 5) : (9x + 5) = 45 : 50 = 9 : 10
Incorrect
Let A's age and B's age be 8x years and 9x years respectively
then, 9x  8x = 5x x = 5.
Required ratio = (8x + 5) : (9x + 5) = 45 : 50 = 9 : 10

Question 32 of 40
32. Question
The total ages of Ankit , Narendra and Satendra is 93 years. five years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Satendra?
Correct
Let the ages of Ankit, Narendra and Satendra 5 years ago be 2x, 3x and 4x years respectively.
Then, (2x + 5) + (3x +5) + (4x + 5) = 96
⇒ 9x + 15 = 96 ⇒ 9x = 81 ⇒ x = 9.
Therefore the present age of Satendra (4x + 5) = (4 9 + 5) = 41 years
Incorrect
Let the ages of Ankit, Narendra and Satendra 5 years ago be 2x, 3x and 4x years respectively.
Then, (2x + 5) + (3x +5) + (4x + 5) = 96
⇒ 9x + 15 = 96 ⇒ 9x = 81 ⇒ x = 9.
Therefore the present age of Satendra (4x + 5) = (4 9 + 5) = 41 years

Question 33 of 40
33. Question
The ratio of the present ages of two Friends is 2 : 3 and six years back, the ratio was 1 : 3. What will be the ratio of their ages after 4 years ?.
Correct
Let the present ages of the two Friends be 2x and 3x respectively.
6x  18 = 3x  6 3x = 12, x = 4
Therefore required ratio = (2x + 4) : (3x + 4) = 12 : 16 = 3 : 4.
Incorrect
Let the present ages of the two Friends be 2x and 3x respectively.
6x  18 = 3x  6 3x = 12, x = 4
Therefore required ratio = (2x + 4) : (3x + 4) = 12 : 16 = 3 : 4.

Question 34 of 40
34. Question
The ratio of the Mother's age to her daughter's age is 9 : 5. the product of their ages is 1125. the ratio of their ages after six years will be :
Correct
Let the present ages of Mother and daughter be 9x and 5x respectively.
⇒ 45x^{2} = 1125
⇒ x^{2} = 25 and x = 5.
Therefore required ratio = (9x + 5) : (5x + 5) = 50 : 30 = 5 : 3
Incorrect
Let the present ages of Mother and daughter be 9x and 5x respectively.
⇒ 45x^{2} = 1125
⇒ x^{2} = 25 and x = 5.
Therefore required ratio = (9x + 5) : (5x + 5) = 50 : 30 = 5 : 3

Question 35 of 40
35. Question
The sum of the ages of A, B and C is 96 years. To find out B’s age, which of the following information given in the statements P and Q is/are sufficient
P : A is 6 years older than C
Q : The total of B and C’s ages is 56 years [Bank P.O. 1994]Correct
A + B + C = 96. Let C = Χ. Then, A = Χ + 6.
Χ + 6 + B + X = 96 so B + 2Χ = 90
Now B + C = 56 so B+ X = 56
Χ=(90  56) = 34.
B+2x = 90 => B = (90  68) = 22.
Thus both P and Q are needed.
Incorrect
A + B + C = 96. Let C = Χ. Then, A = Χ + 6.
Χ + 6 + B + X = 96 so B + 2Χ = 90
Now B + C = 56 so B+ X = 56
Χ=(90  56) = 34.
B+2x = 90 => B = (90  68) = 22.
Thus both P and Q are needed.

Question 36 of 40
36. Question
Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence?. [Bank P.O. 1991]
Correct
Sachins age today = 30 years.
Sachins age 10 years back = 20 years.
Ajays age 10 years back = 10 years.
Ajays age today =20 years.Incorrect
Sachins age today = 30 years.
Sachins age 10 years back = 20 years.
Ajays age 10 years back = 10 years.
Ajays age today =20 years. 
Question 37 of 40
37. Question
The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively :. [N.D.A. 1994]
Correct
Let their ages be x and (x + 20) years.
5 (x 5) = (x + 20  5) or 4x = 40 or x = 10.
Their present ages are 30 years and 10 years.Incorrect
Let their ages be x and (x + 20) years.
5 (x 5) = (x + 20  5) or 4x = 40 or x = 10.
Their present ages are 30 years and 10 years. 
Question 38 of 40
38. Question
Five years ago the ratio of the ages of Omkar and Nitin was 8 : 7. Three years hence, the ratio of their ages will be 11 : 10. what is Nitin's age at present?
Correct
Let the Omkar and Nitin age Five years ago = 8x and 7x.
⇒ 88x +88 = 84x + 96
⇒ 4x = 8 ⇒ x = 2. Nitin's present age = (7x + 5) = (7 × 2 + 5) = 19 years.Incorrect
Let the Omkar and Nitin age Five years ago = 8x and 7x.
⇒ 88x +88 = 84x + 96
⇒ 4x = 8 ⇒ x = 2. Nitin's present age = (7x + 5) = (7 × 2 + 5) = 19 years. 
Question 39 of 40
39. Question
The present ages of three colleague's are in proportions 3 : 5 : 7. Four years ago, the sum of thier ages was 48. find thier present ages (in years) ?.
Correct
Let the present age of three colleague's are : 3x, 5x and 7x
(3x  4) + (5x  4) + (7x  4) = 48.
15x  12 = 48 ⇒ 15x = 60 ⇒ x = 4.
Their present ages are 12 years, 20 years and 28 years respectively.
Incorrect
Let the present age of three colleague's are : 3x, 5x and 7x
(3x  4) + (5x  4) + (7x  4) = 48.
15x  12 = 48 ⇒ 15x = 60 ⇒ x = 4.
Their present ages are 12 years, 20 years and 28 years respectively.

Question 40 of 40
40. Question
Rahul is as much younger than Mukesh as he is older than Lata. If the sum of the ages of Mukesh and Lata is 60 years, what is definitely the difference between Mukesh and Rahul's age ?
Correct
Can't be determined
Incorrect
Can't be determined
Problems on Ages  Video Lectures
https://www.youtube.com/watch?v=x5ltmxX9hIo
Can i get any shortcuts plss