SOLUTION: The sum of the age of mother and her son is 63 years if the produce of their age 4 years ago was 484, find the age now

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Question 1136251: The sum of the age of mother and her son is 63 years if the produce of their age 4 years ago was 484, find the age now
Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
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The sum of the age of mother and her son is 63 years. If the producePRODUCT of their ageS 4 years ago was 484, find theIR ageS now.
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m Mother
y Son

system%28m%2By=63%2C%28m-4%29%28y-4%29=484%29

m=63-y
-
%2863-y-4%29%28y-4%29=484
%28-y%2B59%29%28y-4%29=484
%28y-59%29%28y-4%29=-484
y%5E2-63y%2B59%2A4%2B484=0
y%5E2-63y%2B720=0
y=%2863%2B-+33%29%2F2
system%28y=15%2Cpr%2Cy=48%29--------son can only be one of these, the youngest.

Son 15
Mother 48

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
mother's age is x
son's age is 63-x
four years ago, they were (x-4) and (59-x)
That product is 484
59x-x^2-236+4x=484
x^2-63x+720=0
(x-48)(x-15)=0
x=15 or 48
mother is 48
son is 15
they add to 63
4 years ago they were 44 and 11
that product is 484.