# Ages of a father and son add up to 66. The father's age is the son's age reversed. How old could they be?

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The ages of a father and son add up to 66. The father's age is the son's age reversed. How old could they be? (3 possible solutions).

posted Apr 1, 2015

42-24
60-06
51-15
Are 3 possible solutions

father's age is 42 and the son's24

3 POSSIBLE SOLUTIONS ARE:

FATHER'S AGE [ 42 - 24 ] SON'S AGE
FATHER'S AGE [ 51 - 15 ] SON'S AGE
FATHER'S AGE [ 60 - 06 ] SON'S AGE

(10X + Y) + (10Y + X) = 66
Where X and Y are digits of father and Son ages.

11X + 11Y = 66
Dividing throughout by 11
X + Y = 6

Hence possible combinations are
51 and 15
42 and 24
60 and 06

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