Multiple choice

The ratio of A's and B's present age is (5: 7). After 8 years, the ratio of the ages of A and B becomes (9: 11). Find the present age of B?

  1. 14

  2. 23

  3. 24

  4. 15

  5. 16
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A Correct answer
Explanation

Let present ages be 5x and 7x. After 8 years: (5x+8)/(7x+8) = 9/11. Cross-multiplying: 11(5x+8) = 9(7x+8), so 55x+88 = 63x+72, giving 16 = 8x, so x = 2. B's present age = 7x = 14. Option A is correct. Verification: Present ages 10 and 14. After 8 years: 18 and 22, ratio = 18/22 = 9/11. ✓

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