Multiple choice

The ratio of ages of Kishore and his wife 15 years ago was 3:2. The sum of their present ages is 130 years. Find Kishore’s present age?

  1. 60

  2. 65

  3. 70

  4. 75
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present ages be K and W. K + W = 130. 15 years ago, (K-15)/(W-15) = 3/2. So 2K - 30 = 3W - 45, or 3W - 2K = 15. Substituting W = 130 - K: 3(130 - K) - 2K = 15, 390 - 5K = 15, 5K = 375, K = 75.

AI explanation

Let their ages 15 years ago be 3x and 2x, making their present ages 3x + 15 and 2x + 15. The sum of their present ages is 130, so 5x + 30 = 130. Solving this gives 5x = 100 and x = 20. Kishore's present age is 3(20) + 15 = 75.

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