Multiple choice

The sum of the present age of Varun and Kapil is 42 yr. the ratio of their ages after 5yr will be 15:11. What is the present age of Kapil

  1. 17

  2. 24

  3. 25

  4. 22
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A Correct answer
Explanation

Let V and K be their ages. V + K = 42. After 5 years, (V+5)/(K+5) = 15/11. Solving these equations: V+5 = 15/11 * (K+5) implies 11V + 55 = 15K + 75, or 11V - 15K = 20. Substituting V = 42 - K gives 11(42-K) - 15K = 20, so 462 - 11K - 15K = 20, 442 = 26K, K = 17.

AI explanation

Let the present ages of Varun and Kapil be V and K. Given that their sum is 42 years, V + K = 42. In 5 years, the ratio of their ages will be 15:11, so (V + 5) divided by (K + 5) equals 15 divided by 11. Cross-multiplying yields 11V + 55 = 15K + 75, and substituting V = 42 minus K gives 462 minus 11K + 55 = 15K + 75. Solving this gives K = 17, which is Kapil's present age.

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