Multiple choice

The present ages of A and B are in the ratio 2 : 3 and the ages of A and C are in the ratio 3 : 4. If the sum of the present ages of A, B and C is 92 years, how many years will it take to get the ages of B and C in the ratio 10 : 9?

  1. 2 years

  2. 4 years

  3. 6 years

  4. 8 years

  5. 10 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A:B = 2:3, A:C = 3:4. A:B:C = 6:9:8. Sum of parts = 23. 23x = 92, so x = 4. Ages: A=24, B=36, C=32. After t years, (36+t)/(32+t) = 10/9. 9(36+t) = 10(32+t). 324 + 9t = 320 + 10t. t = 4.

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