SOLUTION: A mother is five times as old as her son. if twice the age of the son is 3 years less than half of the age of the mother, how old are they? Show me the equation please.

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Question 314619: A mother is five times as old as her son. if twice the age of the son is 3 years less than half of the age of the mother, how old are they?
Show me the equation please.

Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = mother's age
Let s = son's age
Equation 1: m = 5s
Equation 2: 2s = m/2 - 3

Plus m=5s into equation 2:

2s = 5s/2 - 3
3 = 5s/2 - 2s
3 = s/2
6=s

m=5s
m=5(6)
m=30

The son is 6, the mother is 30.