WBCS.LIVE practice question

The present ages of A and B are in the ratio 5:4. Exactly 3 years from now, their ages will be in the ratio 11:9. What is B's present age?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 24 years
  2. 30 years
  3. 20 years
  4. 28 years

Correct answer and explanation

Correct answer: 24 years

Explanation: āœ… Correct Answer: A) 24 years šŸ“š Explanation: Let the present ages of A and B be 5x and 4x respectively. In 3 years, their ages will be (5x + 3) and (4x + 3). The new ratio is (5x + 3) Ć· (4x + 3) = 11 Ć· 9. Cross-multiplying gives 9 Ɨ (5x + 3) = 11 Ɨ (4x + 3). This becomes 45x + 27 = 44x + 33. Solving this equation yields x = 6. B's present age is 4x, which equals 4 Ɨ 6 = 24 years.