SOLUTION: The sum of the ages of a father and a son is 52 years. Eight years ago, the father was eight times as old as his son. If the father is now x and the son is y years of age, write tw

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Question 395228: The sum of the ages of a father and a son is 52 years. Eight years ago, the father was eight times as old as his son. If the father is now x and the son is y years of age, write two equations and solve them to find the values if x and y
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the ages of a father and a son is 52 years.
x + y = 52
:
Eight years ago, the father was eight times as old as his son.
x - 8 = 8(y - 8)
x - 8 = 8y - 64
x = 8y - 64 + 8
x = 8y - 56
:
Back to the 1st equation: replace x with (8y-56)
(8y-56) + y = 52
8y + y = 52 + 56
9y = 108
y = 108%2F9
y = 12 yrs is the son's age
:
I'll let you find x, the father's age
:
:
Check the solutions in the 2nd statement: