Diophantus

We know little about this Greek mathematician from Alexandria, except that he lived around 3rd century A. D. Thanks to an admirer of his, who described his life through an algebraic riddle, we know at least something about his life.
Diophantus's youth lasted 1/6 of his life. He had his first beard in the next 1/12 of his life. At the end of the following 1/7 of his life, Diophantus got married. Five years from when his son was born. His son lived precisely 1/2 of Diophantus's life. Diophantus died four years after the death of his son.

How long did Diophantus live? [Diophantus epitaf]

Correct result:

x =  84

Solution:

 1/6 x+1/12 x+1/7 x+5+1/2 x+4=x  9x=756=84  x=84   Verifying Solution:  6=23 12=223 7 ...  prime number LCM(6,12,7)=2237=84  x0=LCM(6,12,7)=84



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