Age a fraction of the birth year

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A man's age at death equalled 129\tfrac{1}{29} of his birth year. He was alive to celebrate a birthday in 19001900 and died before the end of World War II (19451945). How old did he turn on his 19001900 birthday?

Show hints (2)+
  1. Age at death kk means birth year 29k29k and death year 30k30k. Use "alive in 1900, dead before 1945".
  2. Only k=64k=64 fits (born 18561856). His age in 19001900 is 190018561900-1856.

Answer

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44

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