An old man's life in fractions

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An old man spent $\tfrac14$ of his life as a boy, $\tfrac15$ as a youth, $\tfrac13$ as a working man, and the final $13$ years in old age. How old is he?

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The stages sum to a whole life: $\tfrac14+\tfrac15+\tfrac13$ of it, plus $13$ years.
The leftover is $\tfrac{13}{60}$ of life $=13$ years.

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An old man's life in fractions

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