Multiple choice

The ages of Vivek and Sumit are in the ratio of $2 : 3$. After $12$ years, their ages will be in the ratio of $11 : 15$. The age of Sumit is

  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. 30x + 180 = 33x + 132. 3x = 48. Sumit's age is 3x = 48.

AI explanation

Let the present ages of Vivek and Sumit be 2x and 3x. After 12 years, their ages become 2x + 12 and 3x + 12, establishing the equation (2x + 12) / (3x + 12) = 11 / 15. Cross-multiplying gives 30x + 180 = 33x + 132, which simplifies to 3x = 48. Sumit's present age is 3 times 16, or 48 years.

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