SOLUTION: The sum of Mr. Reyes and his son is 60 years. Two years ago, Mr. Reyes was three times as old as his son. A. How old is Mr. Reyes' son? B. How old s Mr. Reyes when his son was bo

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Question 977124: The sum of Mr. Reyes and his son is 60 years. Two years ago, Mr. Reyes was three times as old as his son.
A. How old is Mr. Reyes' son?
B. How old s Mr. Reyes when his son was born?
Answer by rajagopalan(174) About Me  (Show Source):
You can put this solution on YOUR website!
Let the Son's present age=x
Let the fathers present age =y
we get the first equation x+y=60......equation 1
Go back 2 years
Sons age=x-2
Father's age=y-2
we get 3(x-2)=y-2
giving 3x-6=y-2
3x-y=-2+6
3x-y=4.......equation 2
finally
x+y=60
3x-y=4
adding both equations
we get 4x=64
x=64/4=16
So present age of son=16
present age of Reyes(father)=60-16=44
So when the son was born father's age=44-16=28