Civil Service Exam Reviewer · Ratio and Proportion · hard

The present ages of a father and his son are in the ratio 5 : 4. 8 years ago, the ratio was 27 : 20. What is the son's present age?

  1. 35 years
  2. 28 years
  3. 20 years
  4. 36 years

Answer

B. 28 years

Solution

Ages 5k and 4k: (5k − 8)/(4k − 8) = 27/20 → k = 7. Son = 4 × 7 = 28 years.

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