SOLUTION: Diaphantos, a famous mathematician spent 1/6 of his life as child, 1/12 as adolescent, 1/7 as bachelor. Five years after he was maried , he had son who died before 4 years before
Algebra ->
Customizable Word Problem Solvers
-> Mixtures
-> SOLUTION: Diaphantos, a famous mathematician spent 1/6 of his life as child, 1/12 as adolescent, 1/7 as bachelor. Five years after he was maried , he had son who died before 4 years before
Log On
Question 163757This question is from textbook Intermediate Al greba
: Diaphantos, a famous mathematician spent 1/6 of his life as child, 1/12 as adolescent, 1/7 as bachelor. Five years after he was maried , he had son who died before 4 years before his father at half his father's final age. How long did Diaphantos live? This question is from textbook Intermediate Al greba
You can put this solution on YOUR website! This problem came up a few weeks ago, this is what I submitted then
:
Diophantus passed one-sixth of his life in childhood, one-twelfth in youth, one-seventh more as a bachelor. Five years after his marriage, a son was born who died four years before his father, at half his father's [final] age. How old was Diophantus when he died.
:
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
