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The present ages of A and B are in the ratio 3 : 5. After 8 years, the ratio of their ages will be 5 : 7. What is A's present age?

Competition practiceRatio, Proportion & Mixtures
  • A10
  • B12
  • C15
  • D18

Step-by-Step Solution

Let ages be 3k and 5k. (3k+8)/(5k+8) = 5/7 ⇒ 21k + 56 = 25k + 40 ⇒ 4k = 16 ⇒ k = 4. A = 3k = 12 years.
Answer: B) 12

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