In a fraction, twice the numerator is 2 more than the denominator.If 3 is added to the numerator and to the denominator, the new fraction is 23.Find the original fraction.
Let the numerator be x
Denominator =2x−2
Therefore the fraction =x2x−2
Given: when 3 is added to both the numerator and denominator, the fraction becomes 23.
Hence (x+3)(2x−2+3)=23
(x+3)(2x+1)=23
⇒3x+9=4x+2
⇒x=7
∴ the fraction is 712.