SOLUTION: A man is 5 times as old as his son. Five years ago, the sum of their ages was 50. How old are they ?

Question 1086616: A man is 5 times as old as his son. Five years ago, the sum of their ages was 50. How old are they ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
m = the man's present age
s = the son's
:
Write an equation for each statement
:
A man is 5 times as old as his son.
m = 5s
Five years ago, the sum of their ages was 50.
(m-5) + (s-5) = 50
m + s - 10 = 50
m + s = 60
:
How old are they?
replace m with 5s in the 2nd equation
5s + s = 60
6s = 60
s = 60/6
s = 10 yrs is the son's present age
then
5(10) = 50 yrs is the man's age
:
:
Check the solution in the 2nd mattress
(50-5) + (10-5) = 50

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