Multiple choice

The ages of Amit and Puneet are in the ratio of 2 : 3. After 12 years, their ages will be in the ratio of 11 : 15. What is the present age of Puneet?

  1. 32 years

  2. 42 years

  3. 48 years

  4. 56 years

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

Let ages be 2x and 3x. (2x+12)/(3x+12) = 11/15. 15(2x+12) = 11(3x+12) => 30x + 180 = 33x + 132 => 3x = 48 => x = 16. Puneet's age = 3x = 48.

AI explanation

Let the present ages of Amit and Puneet be 2x and 3x. After 12 years, the ratio of their ages is 11 : 15, giving the equation (2x + 12) / (3x + 12) = 11 / 15. Cross-multiplying yields 30x + 180 = 33x + 132, so 3x = 48 and x = 16. Puneet's present age is 3x, which equals 48 years.