Multiple choice

In three more years, Manav's grandfather will be six times as old as Manav was last year. When Manav's present age is added to his grandfather's present age, the total is 68. How old is grandfather?

  1. 52 years

  2. 55 years

  3. 57 years

  4. 61 years

  5. 63 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M = Manav's present age, G = Grandfather's present age. G + M = 68. In 3 years: G + 3 = 6(M - 1). G = 6M - 6 - 3 = 6M - 9. Substituting: 6M - 9 + M = 68, so 7M = 77, M = 11. Then G = 68 - 11 = 57 years.

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