Multiple choice

3 years ago, ratio of age of A and B is 3:1. If the present age of B is 3/8 of the present age of A then what is the difference between their present ages (in years)?

  1. 25

  2. 30

  3. 35

  4. 40

  5. 45
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be A and B. Three years ago: (A-3)/(B-3) = 3/1, so A-3 = 3(B-3), giving A = 3B-6. Given B = (3/8)A. Substituting: A = 3(3/8)A - 6, so A = (9/8)A - 6, then A - (9/8)A = -6, giving (-1/8)A = -6, so A = 48. Then B = (3/8) × 48 = 18. Difference = 48 - 18 = 30 years. Option B is correct.

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