The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determine the fraction.
Let the fraction =xy
First condition :
⇒x+y=4+2(x)
⇒−x+y=4
Second condition :
⇒x+3y+3=23
⇒3x+9=2y+6
⇒3x−2y=−3
⇒x=5
⇒y=9
⇒fraction =59