Question

the denominator of a fraction is 3 more than the numerator. if 2 is addes to the numerator and 5 is added to the deniminator . the fraction becomes 1/2.find the fraction.

Answer 1

let the numerator be x
then the denominator would be x+3
x+2/x+3+5=1/2
x+2/x+8=1/2
cross multiply
2(x+2)=x+8
2x+4=x+8
2x-x=8-4
x=4
x+3=7
the fraction is 4/7

Answer 2

x+2/x+3+5=1/2
x+2/x+8=1/2
2(x+2)=x+8
2x-x=8-4
x=4
the fraction is
4/7
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