Multiple choice

The ratio of the ages of Ram and Shyam 15 years ago was 2 : 5. The ratio of their present ages is 5 : 8. What will be the present age (in years) of Shyam?

  1. 10

  2. 15

  3. 25

  4. 40
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D Correct answer
Explanation

Let ages 15 years ago be 2x and 5x. Present ages are 2x+15 and 5x+15. Ratio (2x+15)/(5x+15) = 5/8. 16x + 120 = 25x + 75. 9x = 45, x = 5. Shyam's present age = 5x+15 = 5(5)+15 = 40.

AI explanation

Let their present ages be 5x and 8x. Fifteen years ago, the ratio was (5x - 15) / (8x - 15) = 2 / 5; cross-multiplying gives 25x - 75 = 16x - 30, so 9x = 45 and x = 5. Shyam's present age is 8(5) = 40 years.

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