Multiple choice

The ratio of the age of Ajay and his daughter is 11: 3. 'N' years ago the sum of their ages decreased by 20 years while the ratio of their ages then was 17: 1. Find the value of N.

  1. 20

  2. 30

  3. 25

  4. 10
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D Correct answer
Explanation

Let Ajay's age = 11x, daughter's age = 3x. N years ago: (11x - N) + (3x - N) = 14x - 2N, which decreased by 20 years from 14x, so 14x - (14x - 2N) = 20, giving N = 10. Alternatively, the ratio became 17:1, so (11x - N)/(3x - N) = 17/1. With N = 10, we get x = 5, so current ages are 55 and 15, satisfying all conditions.

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