SOLUTION: the dads age in months is the same as his sons age in weeks.the grandpas age is twice the dads age and 8 times the grandsons age plus four years. Dad:_____

SOLUTION: the dads age in months is the same as his sons age in weeks.the grandpas age is twice the dads age and 8 times the grandsons age plus four years. Dad:______ Gran

Question 455534: the dads age in months is the same as his sons age in weeks.the grandpas age is twice the dads age and 8 times the grandsons age plus four years.
Dad:______ Grandpa:______
Son:______
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
g = grandpa's age in years
d = dad's age in yrs
s = grandson's age
:
Write an equation for each statement
:
the dads age in months is the same as his sons age in weeks.
12d = 52s
simplify, divide by 4
3d = 13s
3d - 13s = 0; this form for elimination
:
the grandpas age is twice the dads age
g = 2d
:
And 8 times the grandsons age plus four years.
g = 8s + 4
replace g with 2d
2d = 8s + 4
2d - 8s = 4
:
Two equations
3d - 13s = 0
2d - 8s = 4
multiply the 1st equation by 2, the 2nd equation by 3, results
6d - 26s = 0
6d - 24s = 12
----------------subtraction eliminates d, find s
-2s = -12
s = 6 yrs is grandsons age
then
12d = 52s
12d = 52(6)
12d = 312
d =
d = 26 yrs is dad's age
and
g = 2(26)
g = 52 yrs is grandpa's age
:
:
Check solution in the statement:
'Grandpa is 8 times the grandsons age plus four years."
52 = 8(6) + 4
52 = 48 + 4
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