SOLUTION: the denominator of a fraction exceeds the numerator by 5 and if 3 be added to both the fraction becomes 3/4 .the fraction is

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Question 744284: the denominator of a fraction exceeds the numerator by 5 and if 3 be added to both the fraction becomes 3/4 .the fraction is
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let the numerator of a fraction be a and the denominator b
fraction is a%2Fb
if the denominator of a fraction b exceeds the numerator a by 5, we have
b=a%2B5

then, our fraction looks like this:
a%2F%28a%2B5%29

and if 3 be added to both the fraction becomes 3%2F4; so, we have
%28a%2B3%29%2F%28a%2B5%2B3%29=3%2F4......now solve for a
%28a%2B3%29%2F%28a%2B8%29=3%2F4....cross multiply

%28a%2B3%29%2A4=3%28a%2B8%29
4a%2B12=3a%2B24
4a-3a=24-12
a=12
find b
b=a%2B5
b=12%2B5
b=17
so, your fraction is: a%2Fb=12%2F17