SOLUTION: Gita is one third as old as her mother.Twelve years hence she will be half as old as her mother.What is the present age of Gita and her mot

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Question 200805: Gita is one third as old as her mother.Twelve years hence she
will be half as old as her mother.What is the present age of
Gita and her mother?

Answer by josmiceli(6797) About Me  (Show Source):
You can put this solution on YOUR website!
Let g = Gita's age now
Let m = Mother's age now
-------------
Given:
g+=+%281%2F3%29%2Am
g+%2B+12+=+%281%2F2%29%2A%28m+%2B+12%29
Substituting:
%281%2F3%29%2Am+%2B+12+=+%281%2F2%29%2Am+%2B+%281%2F2%29%2A12
%281%2F2%29%2Am+-+%281%2F3%29%2Am+=+-6+%2B+12
Multiply both sides by 6
3m+-+2m+=+36
m+=+36
and
g+=+%281%2F3%29%2Am
g+=+36%2F3
g+=+12
Gita is presently 12, and her Mother
is presently 36