SOLUTION: one-half of pias age two years from now plus one-third of her age three years ago is 20 yrs. How old is she now?

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Question 116917: one-half of pias age two years from now plus one-third of her age three years ago is 20 yrs. How old is she now?
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
one-half of pias age two years from now plus one-third of her age three years ago is 20 yrs. How old is she now?
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Let her age now be "x"
EQUATION:
(1/2)(x+2) + (1/3)(x-3) = 20
(1/2)x+1 + (1/3)x - 1 = 20
(5/6)x = 20
(1/6)x = 4
x = 24 yrs old
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Cheers,
Stan H.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Pias-+age=x
one-half+_of+_pias+_age_two_+years+_from+_now++=+%28x%2B2%29%2F2…

one-third of her age three years ago: %28x-3%29%2F3
one-half of Pias age two years from now plus one-third of her age three years ago is 20 yrs:
%28x%2B2%29%2F2+%2B+%28x-3%29%2F3+=+20+…..solve for x………first multiply both sides by 6
6%28x+%2B2%29%2F2+%2B+6%28+x-3%29%2F3+=+6%2A20+…..
3%28x+%2B+2+%29+%2B+2%28+x-3%29+=+120+…..
3x+%2B+6+%2B+2x+-+6=+120+…..
5x+=+120+…..
x+=+120%2F5+…..
x+=+24…..she is now 24 years old
check
if Pia is 24 years old, one-half of Pias age two years from now will be %2824%2B2%29%2F2=+26%2F2=13
one-third of her age three years ago 24-3%29%2F3=7

13+%2B+7+=+20