SOLUTION: what is Diaphanous's age? Diaphanous was a famous Greek mathematician who lived and worked in Alexandria, Egypt, probably in the third century C.E. When he died, someone describ

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Question 469231: what is Diaphanous's age?
Diaphanous was a famous Greek mathematician who lived and worked in Alexandria, Egypt, probably in the third century C.E. When he died, someone described his life in this puzzle. He was a boy for 1/6 of his life. after 1/12 more, he acquired a beard. After another 1/7, he married. in the fifth year of marriage, his son was born. The son lived half as many years as his father. Diaphanous died 4 years after his son. How old was Diaphanous when he died
Found 2 solutions by ankor@dixie-net.com, Maruf:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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He was a boy for 1/6 of his life. after 1/12 more, he acquired a beard. After another 1/7, he married. in the fifth year of marriage, his son was born. The son lived half as many years as his father. Diaphanous died 4 years after his son. How old was Diaphanous when he died
Let x = his final age
:
a lengthy but simple equation
Final age = child + youth + bach + marriage + son's age + 4
x = 1%2F6x + 1%2F12x + 1%2F7x + 5 + 1%2F2x + 4
:
Common denominator of 12*7 = 84
x = 14%2F84x + 7%2F84x + 12%2F84x + 5 + 42%2F84x + 4
:
x = 75%2F84x + 9
:
84%2F84x - 75%2F84x = 9
:
9%2F84x = 9
:
x = 84 is his final age
:
Check:
14 + 7 + 12 + 5 + 42 + 4 = 84

Answer by Maruf(3) About Me  (Show Source):