ArithmeticQuestion 399 of 550

The ratio of the ages of two brothers is 2 : 3. In 10 years the ratio will be 3 : 4. How old is the elder brother now?

  1. 20 years
  2. 30 years
  3. 25 years
  4. 40 years
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Correct answer: 30 years

Let the ages be 2k and 3k. In 10 years: (2k + 10) ÷ (3k + 10) = 3/4, so 8k + 40 = 9k + 30 and k = 10. The elder = 3 × 10 = 30.

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Questions last reviewed: 21 October 2026