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Today the ages of Arjun and his elder brother are in the ratio 2 : 3. Ten years from now, the ratio will be 4 : 5. What is Arjun's present age, in years?

Competition practiceRatio, Proportion & Mixtures
  • A10
  • B15
  • C12
  • D20

Step-by-Step Solution

Let the ages be 2k and 3k. (2k + 10)/(3k + 10) = 4/5, so 10k + 50 = 12k + 40 and k = 5. Arjun is 10 years old.
Answer: A) 10

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