SOLUTION: Hi! I have this age problem that is really complicated. I looked at some previous lessons and wasn't able to find an example that helped. Here it is: The age of Diophantus, a

Question 1128362: Hi!
I have this age problem that is really complicated. I looked at some previous lessons and wasn't able to find an example that helped. Here it is:
The age of Diophantus, a brilliant Greek mathematician of about 250 A.D., may be calculated from an epitaph which reads as follows: Diophantus passed one sixth of his life in childhood, one twelfth in youth, and one seventh more as a bachelor; five years after his marriage was born a son who died four years before his father at half his father's final age.
Thank you!
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = his age

Multiply both sides by

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check:
His son lived to half this age or

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Feel free to get a 2nd opinion, too

Answer by ikleyn(52782) (Show Source): You can put this solution on YOUR website!
.
It was solved many times in this forum.

See, for example, the link

https://www.algebra.com/algebra/homework/word/age/Age_Word_Problems.faq.question.1063777.html

https://www.algebra.com/algebra/homework/word/age/Age_Word_Problems.faq.question.1063777.html

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