Multiple choice

4 years ago, the ratio of Vikash to Rahul’s age was 3 : 5. After 6 years, this ratio would be 4 : 5. Find the present age of Rahul.

  1. 10

  2. 15

  3. 14

  4. 17

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

Let Vikash's age 4 years ago = 3x, Rahul's age 4 years ago = 5x. Present ages: Vikash = 3x+4, Rahul = 5x+4. After 6 years: Vikash = 3x+10, Rahul = 5x+10. Ratio is (3x+10)/(5x+10) = 4/5. Cross multiply: 5(3x+10) = 4(5x+10), giving 15x+50 = 20x+40, so 5x = 10, x = 2. Rahul's present age = 5(2)+4 = 14.