Problems on Ages · Question 6 · Medium

The present ages of A and B are in the ratio 5 : 7. After 6 years the ratio will be 7 : 9. What is B's present age?

  1. 18 years
  2. 21 years
  3. 24 years
  4. 28 years
Answer and explanation

Answer: B. 21 years

Explanation: (5k + 6)/(7k + 6) = 7/9 gives 45k + 54 = 49k + 42, so k = 3. B = 7 × 3 = 21 years.

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