SOLUTION: bobs youth lasted one sixth of his life. he grew a beard after one twelfth more. after one seventh more of his life, he married. 5 years later he and his wife had a son. the son li

Algebra.Com
Question 894383: bobs youth lasted one sixth of his life. he grew a beard after one twelfth more. after one seventh more of his life, he married. 5 years later he and his wife had a son. the son lived exactly one half as long as his father, and bob died four years after his son. how many years did bob live?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
let a = his age at death
write an expression for each statement:
bobs youth lasted one sixth of his life.
a
he grew a beard after one twelfth more.
a
after one seventh more of his life,
a
he married. 5 years later he and his wife had a son. the son lived exactly one half as long as his father, and bob died four years after his son. how many years did bob live?
5 + a + 4
:
Write an equation for all this
a = a + a + a + 5 + a + 4
multiply by 84 and cancel the denominators
84a = 14a + 7a + 12a + 420 + 42a + 336
Combine like terms
84a = 75a + 756
84a - 75a = 756
9a = 756
a = 756/9
a = 84 yrs old when he died

RELATED QUESTIONS

Diophantus's youth lasted one sixth of his life. He grew a beard after one twelfth more. (answered by ankor@dixie-net.com)
Diophantus, the father of algebra, told this when ask his age. My youth lasted one-sixth... (answered by Paul,wuwei96815)
Diophantus passed one-sixth of his life in childhood, one-twelfth in youth, one-seventh... (answered by ankor@dixie-net.com)
I need a little help with this word problem. I have tried to fiugre out how to write it... (answered by wuwei96815,Paul)
My Grandfather, James, lived to be fairly old. His was considered to be a child for (answered by ankor@dixie-net.com)
a man passed one-sixth of his life in childhood, one-twelfth in youth and one-seventh in... (answered by ankor@dixie-net.com)
Diophantus of Alexandria, a third century mathmatician, lived one-sixth of his life in... (answered by ankor@dixie-net.com)
A man passed one sixth of his life in childhood, one twelfth in youth, and one seven more (answered by robertb)
"Here lies Diophantus," the wonder behold! Through art algebraic, stone tells how old: " (answered by richwmiller)