Multiple choice

The ratio of the ages of Rahul and Naimish is (8 : 15) respectively. After 9 years the ratio of their ages become (11 : 18). Find the difference between their ages?

  1. 33 years

  2. 24 years

  3. 21 years

  4. 9 years

  5. Cannot be determined.

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

Let ages be 8x and 15x. After 9 years: (8x+9)/(15x+9) = 11/18. Cross-multiply: 144x + 162 = 165x + 99. Solving: 21x = 63, so x = 3. Current ages: 24 and 45. Difference = 45 - 24 = 21 years.