SOLUTION: the denominator of a fraction is 2 more than the numerator.. if 1 is added to both, the fraction reduce t o 4/5.. find the fraction

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Question 841535: the denominator of a fraction is 2 more than the numerator.. if 1 is added to both, the fraction reduce t o 4/5.. find the fraction
Answer by Narsinghchauhan8960103366(17) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numerator = x
So denominator = x+2
Fraction = x/(x+2)
According to question
(x+1)/(x+2+1)=4/5
(x+1)/(x+3)=4/5
multiplying by scissors method
5(x+1)=4(x+3)
5x+5=4x+12
5x-4x=12-5
x=7
numerator x= 7
denominator = 7+2=9
So Fraction = 7/9