The numerator of a fraction is 2 less than is denominator if 3 is added to the numerator and denominator, the fraction increased by 1/18.find the fraction.
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Let the Dr. Of fraction be x.
So, Nr=x-2.
Fraction=x-2/x.
As per the ques,
x-2+3/x+3=x-2/x+1/18
x+1/x+3=18x-36+x/18x
18x^2+18x=19x^2-36x+57x-108
18x+36x=x^2+57x-108
x^2+3x-108=0
x^2+12x-9x-108=0
x(x+12)-9(x+12)=0
(x-9)(x+12)=0
So, x=9 or x= -12
So fraction =7/9
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