SOLUTION: Diopanthes (born 250 A.D.)passed a sixth of his life in childhood, a twelfth in adolescence, and a seventh more as a bachelor; five years later, he got married, a son was born to h

Question 243136: Diopanthes (born 250 A.D.)passed a sixth of his life in childhood, a twelfth in adolescence, and a seventh more as a bachelor; five years later, he got married, a son was born to him and died four years before Diopanthes at one-half his father's final age. What is his age from birth till Death ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Diopanthes (born 250 A.D.)passed a sixth of his life in childhood, a twelfth in adolescence, and a seventh more as a bachelor; five years later, he got married, a son was born to him and died four years before Diopanthes at one-half his father's final age. What is his age from birth till Death ?
:
Let x = his final age
:
a lengthy but simple equation
Final age = child + youth + bach + marriage + son's age + 4
x = x + x + x + 5 + x + 4
:
Common denominator of 12*7 = 84
x = x + x + x + 5 + x + 4
:
x = x + 9
:
x - x = 9
:
x = 9
:
x = 84 is his final age
:
Check:
14 + 7 + 12 + 5 + 42 + 4 = 84
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