A grandfather and his grandson have the same birthday date. For six consecutive birthdays the grandfather was a multiple of theĀ grandson’s age. How old were each at the sixth of these birthdays?
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Pop QuizA grandfather and his grandson have the same birthday date. For six consecutive birthdays the grandfather was a multiple of theĀ grandson’s age. How old were each at the sixth of these birthdays? 3 guesses to Pop Quiz |
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6 and 66
Yeah, the first year the grandson is 1 and the grandfather is 61
Great job, Anant.
Grandfather 66 and grandson 6 is correct.
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
You are today’s winner.