Problems on Ages · Question 27 · Hard

Problems on Ages question 27

The present ages of a father and his son are in the ratio 7 : 2. After 10 years, the ratio will be 9 : 4. How old was the father when the son was born?

  1. 35 years
  2. 20 years
  3. 25 years
  4. 30 years
Answer and explanation

Answer: C. 25 years

Explanation: Let the ages be 7k and 2k. 4(7k + 10) = 9(2k + 10) gives 10k = 50, so k = 5: father 35, son 10. The father was 35 − 10 = 25 when the son was born.

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