Multiple choice

The ratio of the present ages of P and Q is (7 : 5). After seven years, the ratio of their ages will be (21 : 16). R is five years older than P. What will be the age of R after 10 years?

  1. 50

  2. 44

  3. 48

  4. 25

  5. None of these
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A Correct answer
Explanation

Let present ages be 7x and 5x. After 7 years: (7x+7)/(5x+7) = 21/16. Cross-multiply: 16(7x+7) = 21(5x+7). Solving gives x=5. So P=35, Q=25. R is 5 years older than P, so R=40. After 10 years, R will be 50.

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