Multiple choice

In three more years, Malvika's grandfather will be six times as old as Malvika was last year. When Malvika'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 Malvika's current age be M and grandfather's current age be G. From 'grandfather will be six times as old as Malvika was last year': G + 3 = 6(M - 1). From sum of present ages: M + G = 68. Substituting G = 68 - M into first equation: 68 - M + 3 = 6M - 6, so 71 + 6 = 7M, giving M = 11 and G = 57.

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