SOLUTION: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original f

Question 389842: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction.
Found 2 solutions by mananth, ewatrrr:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction.
..
let numerator be x
denominator = (x+2)
...
1 is subtracted from both
numerator = x-1
denominator = (x+2)-1=x+1
...
The fraction =
==1/2
2(x-1)=(x+1)
2x-2=x+1
2x-x=2+1
x=3
so denominator = 3+2=5
The fraction =
...
m.ananth@hotmail.ca
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,
Let n represent the original value of the numerator
Write as we Read*** original fraction is n/(n+2)
[n-1]/[(n+2) -1] = 1/2
Cross multiply to solve for x
2[n-1] = [(n+2) -1]
2n - 2 = n + 1
n = 3 Original fraction is 3/5
CHECKING our Answer****
2/4 = 1/2
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