Multiple choice

The ratio of present ages of P and Q is (3 : 4) respectively. After 4 years, Q will be 5 years elder than P. What is the present age of P?

  1. 15 years

  2. 20 years

  3. 25 years

  4. Cannot be determined

  5. None of these
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A Correct answer
Explanation

Let present ages be 3x and 4x for P and Q respectively. After 4 years: Q's age = 4x+4, P's age = 3x+4. Given Q will be 5 years elder than P: (4x+4) = (3x+4) + 5. Solving: 4x+4 = 3x+9, so x = 5. Present age of P = 3x = 3×5 = 15 years. Option B (20) would be 4x, option C (25) is 5x, and the answer can be determined from the given information.

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