SOLUTION: When a fraction is reduced to it's lowest term,it is equal to 3/4.the numerator of the fraction when double would be 34 greater than the denominator.find the fraction

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Question 914523: When a fraction is reduced to it's lowest term,it is equal to 3/4.the numerator of the fraction when double would be 34 greater than the denominator.find the fraction
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Set n = the numerator
d = the denominator
n%2Fd=3%2F4

%28d+%2B+17%29%2Fd=3%2F4
Do cross products
3d=4%28d%2B17%29
3d=4d%2B68
add -4d to each side
-d=68
d = -68
Since n = d + 17, n = -68 + 17
n = -51
Checking our answer. See if n/d reduces to 3/4
n/d = -51/-68 = 3/4 , so this checks out.
Now see if 2n = 2d + 34
2(-51) = 2(-68) + 34
-102 = -136 + 34
-102 = -102
So we can say the numerator is -51 and the denominator is -68