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The ages of two cousins are in the ratio 3 : 5. Six years from now the ratio will be 3 : 4. What is the younger cousin's present age in years?

Competition practiceRatio, Proportion & Mixtures
  • A6
  • B10
  • C12
  • D9

Step-by-Step Solution

Let ages be 3k and 5k. (3k + 6)/(5k + 6) = 3/4 gives 12k + 24 = 15k + 18, so k = 2. Younger = 6 years (check: 12 and 16 are in ratio 3 : 4).
Answer: A) 6

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