Question 907506
The age of a father and son adds up to 37.
The equation for this would be  f+s = 37

The mother's age is 5 times that of the son's
The equation for this would be m= 5s

Mom's age is 7 years less than the father's.
This equation would be m= f-7

Father's age is m+7 = f 
Plug this into f+s= 37
              (m+7) + s = 37

If m= 5s, then (m+7) + s  = 37
               5s + 7 + s = 37
               6s + 7     = 37
               6s         = 30
                s         = 5
This is the son's age.

If s = 5, then f+s = 37 will give us the father's age
               f+5 = 37
               f   = 32

If s= 5, then m=5s gives us the mother's age
              m= 5(5)
              m= 25