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Puzzle - Answer

A grandfather and his grandson have the same birthday date.

For six consecutive birthdays the grandfather was a multiple of the grandson's age.

How old were each at the sixth of these birthdays?

 [Ref: ZGSR]

Answer: Grandfather 66, grandson 6.

Grandfather   Grandson
   61            1      (61 = 1 x 61)

   62            2      (62 = 2 x 31)

   63            3      (63 = 3 x 21)

   64            4      (64 = 4 x 16)

   65            5      (65 = 5 x 13)

   66            6      (66 = 6 x 11)

So on the sixth birthday, they are 66 and 6 respectively.

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