# Aptitude - Problems on Ages

### Exercise :: Problems on Ages - General Questions

6.

A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

 A. 14 years B. 18 years C. 20 years D. 22 years

Explanation:

Let the son's present age be x years. Then, man's present age = (x + 24) years. (x + 24) + 2 = 2(x + 2) x + 26 = 2x + 4 x = 22.

7.

Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?

 A. 16 years B. 18 years C. 20 years D. Cannot be determined E. None of these

Explanation:

Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.

 Then, (6x + 6) + 4 = 11 (5x + 6) + 4 10 10(6x + 10) = 11(5x + 10) 5x = 10 x = 2. Sagar's present age = (5x + 6) = 16 years.

8.

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:

 A. 12 years B. 14 years C. 18 years D. 20 years

Explanation:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6) 54 - x = 5x - 30 6x = 84 x = 14. Son's age after 6 years = (x+ 6) = 20 years..

9.

At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

 A. 12 years B. 15 years C. 19 and half D. 21 years

Explanation:

Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,

4x + 6 = 26 4x = 20

x = 5. Deepak's age = 3x = 15 years.

10.

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?

 A. 16 years B. 18 years C. 28 years D. 24.5 years E. None of these

Explanation:

Let Rahul's age be x years.

Then, Sachin's age = (x - 7) years. x - 7 = 7 x 9 9x - 63 = 7x 2x = 63 x = 31.5

Hence, Sachin's age =(x - 7) = 24.5 years.