SOLUTION: A woman and her grandson have the same birthday. For six consecutive birthdays, she is an integral multiple of his age. How old is the grandmother at the sixth of these birthdays?

Question 40057: A woman and her grandson have the same birthday. For six consecutive birthdays,
she is an integral multiple of his age. How old is the grandmother at the sixth of these birthdays?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Using logic, I figured the child had to be
1, 2, 3, 4, 5, 6
years of age.
Then I looked at grandma starting at 41 but that didn't work, then 51 but that didn't work, but then I tried 61...
61, 62, 63, 64, 65, 66 works!
The answer is 66.
Good problem.
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