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

Algebra ->  Customizable Word Problem Solvers  -> Age -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = his age

Multiply both sides by +6%2A7%2A12+
+84x+%2B+42x+%2B+72x+%2B+2520+%2B+252x+%2B+2016+=+504x+
+54x+=+4536+
+x+=+84+
---------------------
check:
His son lived to half this age or +42+
+14+%2B+7+%2B+12+%2B+5+%2B+42+%2B+4+=+84+
+84+=+84+
---------------------
Feel free to get a 2nd opinion, too

Answer by ikleyn(52781) About Me  (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