SOLUTION: A grandfather has lived as many years as his grandson has lived months. His son has lived as many weeks as his grandson has lived days. If you added their ages, you would get 120 y
Algebra.Com
Question 817284: A grandfather has lived as many years as his grandson has lived months. His son has lived as many weeks as his grandson has lived days. If you added their ages, you would get 120 years. How old is the grandfather?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A grandfather has lived as many years as his grandson has lived months.
His son has lived as many weeks as his grandson has lived days.
If you added their ages, you would get 120 years. How old is the grandfather?
:
let x = grandfather's age
let y = son's age
let z = grandson's age
:
"A grandfather has lived as many years as his grandson has lived months."
x = 12z
:
"His son has lived as many weeks as his grandson has lived days."
52y = 365z
y = z
y ~ 7z
:
"If you added their ages, you would get 120 years."
x + y + z = 120
replace x with 12z; replace y with 7z
12z + 7z + z = 120
20z = 120
z = 120/20
z = 6 yrs is grandson's age
the
12(6) = 72 yrs is grandfathers age
and
7(6) = 42 yrs is son's age
How old is the grandfather? 72
RELATED QUESTIONS
a man is 65 years old and his grandson is 20. how many years ago was the grandfather six... (answered by orca)
A man is 65 years old and his grandson is 20. How many years ago was the grandfather six... (answered by scott8148)
My
Grandfather, James, lived to be fairly old. His was considered to
be a child for
(answered by ankor@dixie-net.com)
Dr.Thomas McKay lived 3/13 of his life as a child.He spent 4/39 of his life preparing for (answered by rfer)
A grandfather is 4 times as old as his grandson now. Two years ago , the sum of their... (answered by ikleyn)
My grandson is as many days old as my son is in weeks. My grandson is as many months old (answered by edjones)
in how many years will a 73 year old grandfather be 5 times as old as his 5 year old... (answered by josgarithmetic,Solver92311,greenestamps)
Diophantus's youth lasted one sixth of his life. He grew a beard after one twelfth more. (answered by ankor@dixie-net.com)
bobs youth lasted one sixth of his life. he grew a beard after one twelfth more. after... (answered by ankor@dixie-net.com)