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. I need help setting this problem up,

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Question 165752This question is from textbook
: 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.
I need help setting this problem up, for some reason I can not figure this out.
This question is from textbook

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call m=mother and s=son so m=5s because she is 5time older
and 2s=1/2m-3 so taking the value for m in the 1st equation and substituting it into the 2nd we get 2s=1/2(5s)-3 so 2s=5/2s-3 subtract 2s and add 3 to both sides and you get 1/2s=3 multiply both sides by 2 and you get s=6 now plug in the s value into m=5s and we get m=5(6) so m=30
son is 6 and mother is 30