Diophantus' youth lasted 1/6 of his life. He grew a beard after 1/12 more of his life. After 1/7 more of his life, Diophantus married. Five years later he had a son. The son lived exactly 1/2 as long as his father, and Diophantus died just four years after his son's death. All of this totals the years Diophantus lived." NEED HELP..

Question

alekos · Answer

by my calculation he lived 84 years. do you have an answer?

anonymous · Answer

How did you get 84?

alekos · Answer

Following the script... 

L = L/6 + L/12 + L/7 + 5 + L/2 + 4

Then i solved for L  (no of years of Diophantus' life)

alekos · Answer

happy with that?

anonymous · Answer

I got 84 also.

(1/6)x + (1/12)x + (1/7)x 5 + (1/2)x +4 = x

Simplify: (3/28)x = 9

x = 84 years old

alekos · Answer

yep, looks good. thats what it is

anonymous · Answer

Thanks.

alekos · Answer

your welcome