SOLUTION: A neighbor said, “If I live to be one hundred, then my current age is two thirds of the time that I have left.” How old is she?

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Question 1122125: A neighbor said, “If I live to be one hundred, then my current age is two thirds of the
time that I have left.” How old is she?
Found 2 solutions by math_helper, greenestamps:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

40
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She has 60 years to get to 100 and 40 is (2/3)*60.
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You can also formalize it:
x = current age

x = (2/3)(100 - x)
then solve for x.


Answer by greenestamps(13214) About Me  (Show Source):
You can put this solution on YOUR website!


If x is the years she has left, then her current age is 2/3 of x.

Then the 100 years is x plus 2/3 of x:

x+%2B+%282%2F3%29x+=+100
%285%2F3%29x+=+100
x+=+%283%2F5%29%28100%29+=+60

Her age is 2/3 of that, which is 40.