Multiple choice

The ratio of the present ages of Arun and Gaurav is 3: 2 respectively, and the age of Arun's son is half the age of Gaurav. If after 8 years the ratio of Arun and Gaurav's ages will be 11 : 8 respectively. What will be the present age of Arun's son?

  1. 12

  2. 18

  3. 20

  4. 24

  5. 28

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Arun's present age = 3x, Gaurav's present age = 2x. After 8 years: (3x+8)/(2x+8) = 11/8. Cross-multiplying: 8(3x+8) = 11(2x+8), giving 24x + 64 = 22x + 88, so 2x = 24 and x = 12. Arun's son = half of Gaurav = x = 12. Option A is correct.