Multiple choice

The ratio between the present ages of A and B is 3 : 5. If the ratio of their ages five years after becomes (\frac{13}{20}), then the present age of B is:

  1. 40 years

  2. 35 years

  3. 32 years

  4. 36 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be 3x and 5x. After 5 years: (3x+5)/(5x+5) = 13/20. Cross-multiplying: 20(3x+5) = 13(5x+5), giving 60x + 100 = 65x + 65, so 35 = 5x and x = 7. B's present age = 5x = 5×7 = 35 years.

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