SOLUTION: The sum of the ages of a father and son is 52. The difference their ages is 28, then the age of the father is....?

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Question 821758: The sum of the ages of a father and son is 52. The difference their ages is 28, then the age of the father is....?
Answer by jhunjiro(67) About Me  (Show Source):
You can put this solution on YOUR website!
Let:
x - fathers age
y - sons age
Solution:
x%2By=52+ eq 1
x-y=28+ eq 2
-
+x=52-y+ eq 3
-
substitute to eq 2
%2852-y%29-y=28
52-2y=28+
+-2y=-24
+highlight+%28y=12%29 sons age
-
substitute to eq 3
+x=52-12
+highlight+%28x=40%29 fathers age
other solution is elimination method:
add eq 1 and eq 2 to eliminate the y then solve for x. then substitute the value of x to eq 1 or eq 2 to get the value of y.