SOLUTION: Five years ago, Jane's age was half of the age she will be in 8 years. How old is she now?

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Question 1102428: Five years ago, Jane's age was half of the age she will be in 8 years. How old is she now?

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
j, Jane now

j-5=%281%2F2%29%28j%2B8%29

-
2j-10=j%2B8
highlight%28j=18%29

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The time difference between "5 years ago" and "in 8 years" is 13 years.

If her age 5 years ago is half what it will be in 8 years, then her ages at those two times must be 13 and 26.

So she was 13 5 years ago, which means she is now 18.

Formally...

Let x = her age now
Then x-5 = her age 5 years ago
and x+8 = her age in 8 years

Then
x-5+=+%281%2F2%29%28x%2B8%29
2x-10+=+x%2B8
x+=+18