An old man's life in fractions

An old man spent 14\tfrac14 of his life as a boy, 15\tfrac15 as a youth, 13\tfrac13 as a working man, and the final 1313 years in old age. How old is he?

Show hints (2)+
  1. The stages sum to a whole life: 14+15+13\tfrac14+\tfrac15+\tfrac13 of it, plus 1313 years.
  2. The leftover is 1360\tfrac{13}{60} of life =13=13 years.

Answer

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60

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