SOLUTION: one grandpa, one dad, one grandson. total age of these three is 140yrs. grandsons age in months is eqaul to the age of grandpa n years and grandsons age in days is eqaul to the age

Question 696515: one grandpa, one dad, one grandson. total age of these three is 140yrs. grandsons age in months is eqaul to the age of grandpa n years and grandsons age in days is eqaul to the age of the dad in weeks. so what is the age of these three persons?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
one grandpa, one dad, one grandson. total age of these three is 140yrs.
grandsons age in months is equal to the age of grandpa n years,
and grandsons age in days is equal to the age of the dad in weeks.
so what is the age of these three persons?
:
let a = grandpa's age (yrs)
let b = dad's age
let c = grandson's age
:
Write an equation for each statement:
:
"one grandpa, one dad, one grandson. total age of these three is 140yrs."
a + b + c = 140
:
" grandsons age in months is eqaul to the age of grandpa n years"
a = 12c
:
"and grandsons age in days is eqaul to the age of the dad in weeks."
52b = 365c
b = c
:
Substitue for a and b in the 1st equation
12c + c + c = 140
13c + c = 140
mult by 52
52(13c) + 365c = 52(140)
676c + 365c = 7280
1041c = 7280
c = 7280/1041
c ~ 7 yrs old the grandson
How about grandpa?
12 * 7 = 84 yrs old is grandpa
and
Find Dad's age, using the total yrs equation
140 - 7 - 84 = 49 is dad's age
:
:
Check this
52(49) = 365(7)
divide both sides by 7
52*7 = 365
364 ~ 365, close enough?
:
so what is the age of these three persons? 84, 49, 7
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