The numerator of a fraction is 3 less than the denominator.If numerator is added to the denominator then the fraction becomes 27.Find the fraction.
Let the numerator of the fraction be x.
Then denominator=x+3
Fraction=xx+3
If the numerator is added to the denominator
the new fraction=NumeratorDenominator+Numerator
⇒x(x+3)+x=27
⇒x2x+3=27
⇒7x=4x+6
⇒7x−4x=6
⇒3x=6 or x=63=2
Numerator=x=2
Denominator=x+3=2+3=5
Fraction=25