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 their sixth consecutive birthday?
Answer
Grandfather was 66 and grandson was 6.
When grandfather was 61, granson was 1 (61 = 1 x 61)
When grandfather was 62, granson was 2 (62 = 2 x 31)
When grandfather was 63, granson was 3 (63 = 3 x 21)
When grandfather was 64, granson was 4 (64 = 4 x 16)
When grandfather was 65, granson was 5 (65 = 5 x 13)
When grandfather was 66, granson was 6 (66 = 6 x 11)