Multiple choice

The sum of the age of father, mother and son is 96 years. After 8 years the mother will be thrice as old as her son and the father will be as old as the mother and son together. Find the present age of the mother?

  1. 23 years

  2. 25 years

  3. 37 years

  4. 84 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let F, M, S be current ages. F + M + S = 96. After 8 years: (M + 8) = 3(S + 8), and (F + 8) = (M + 8) + (S + 8). From second: F = M + S. Substitute in first: 2M + 2S = 96, so M + S = 48. Then F = 48. From first condition: M + 8 = 3S + 24, so M - 3S = 16. With M + S = 48: M = 37, S = 11.

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