Pr4.pdf

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PROBLEMATICAL RECRETIONS Age Problem A man passed one sixth of his life in childhood, one twelfth in youth and one seventh more as a bachelor. Five years after his marriage, a son was born who dies four years before his father at half his father’s final age. What is the man’s final age? Solution: Let x be the final age of the man. 1 Childhood: x Youth:

6 1

x

12 1

Bachelor: x 7 Marriage: 5 (no son) Son’s age: x/2 After son’s death: 4 1 6

x+

1 12

x+

1 7

x+ 5+

x 2

+4=x

x = 84

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