SOLUTION: a gentleman spent 1/6 of his life as a boy, 1/8 of his life as a youth, 1/2 of his life as a man and 15 years as an adult. How old is he? I know the answer is 72, but how to so

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Question 398640: a gentleman spent 1/6 of his life as a boy, 1/8 of his life as a youth, 1/2 of his life as a man and 15 years as an adult. How old is he?
I know the answer is 72, but how to solve the problem? Thanks. I'm helping a student figure this out, and don't recall how to come up with the solution. Thanks.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
(1/6)x + (1/8)x + (1/2)x + 15 = x ___ add the fractions by using the LCD

(4/24)x + (3/24)x + (12/24)x + 15 = x ___ (19/24)x + 15 = x ___ 15 = (5/24)x