SOLUTION: One-half of Martha's age two years from now plus one-third of her age three years ago is 20 years. How old is she now?

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Question 1140027: One-half of Martha's age two years from now plus one-third of her age three years ago is 20 years. How old is she now?
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.
%281%2F2%29%2A%28x%2B2%29 + %281%2F3%29%2A%28x-3%29 = 20.


Multiply by 6 both sides


3*(x+2) + 2*(x-3) = 120

3x + 6 + 2x -6 = 120


5x = 120


x = 120/5 = 24.


ANSWER.  Martha is 24 years old.


CHECK.   %281%2F2%29%2A%2824%2B2%29 + %281%2F3%29%2A%2824-3%29 = 13 + 7 = 20.   ! Correct !

Solved and checked.