Multiple choice

If the average age of Manoj and Amit is 32 years and the ratio of their ages is (9:7). What will be the ratio of their ages after 6 years?

  1. $34 : 42$
  2. $17 : 21$
  3. $34 : 17$
  4. $21 : 17$
  5. $21 : 19$
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D Correct answer
Explanation

Average age = 32, so sum of ages = 32 × 2 = 64 years. Ratio 9:7 means Manoj = (9/16) × 64 = 36 years, Amit = (7/16) × 64 = 28 years. After 6 years: Manoj = 42, Amit = 34. Ratio = 42:34 = 21:17 (dividing by 2). The key insight is that both ages increase by the same amount (6 years), so we add 6 to each age before calculating the new ratio.

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