Multiple choice

The respective ratio of the present age of grandfather, father, mother and son is 25 : 14 : 11 : 5. 10 years ago, the ratio of the age of Grandfather and son was 13 : 1. What will be the sum of the age of father and mother after 6 years?

  1. 75 years

  2. 81 years

  3. 87 years

  4. 84 years

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages be 25x, 14x, 11x, 5x. 10 years ago: Grandfather was (25x - 10), Son was (5x - 10). Ratio (25x - 10)/(5x - 10) = 13/1. Cross-multiplying: 25x - 10 = 65x - 130, so 40x = 120, x = 3. Current ages: GF = 75, Father = 42, Mother = 33, Son = 15. After 6 years: Father = 48, Mother = 39. Sum = 87 years.

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