SOLUTION: a fraction has a denominator that is 2 more than its numerator. if the numerator is doubled and 5 is added to the denominator, the result would be1. what is the original fraction

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Question 499561: a fraction has a denominator that is 2 more than its numerator.
if the numerator is doubled and 5 is added to the denominator, the result would be1.
what is the original fraction?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x = numerator
x+2 = denominator
.
2x is the doubled numerator
x+2+5 is five added to the denominator
2x%2F%28x%2B7%29+=+1
cross multiply (the 1 can be viewed as 1/1)
2x+=+x%2B7
subtract x from both sides
x+=+7
.
substitute to find the original denominator
x%2B2+=+9
.
Original fraction was 7/9.
.
Done.