The denominator of a fraction is 1 more than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is 1:2.Find the fraction.
According to given y=2x+1⇒2x−y+1=0....(i)
According to second given line condition
x+1y+1=12
2(x+1)=y+1⇒2x+2=y+1
2x−y=1−2
2x−y=−1.....(ii)
There can be infinite values of satisfying the conditions some possibles are
x=3,y=7⇒ (i) 2(3)−7+11=0⇒6−7+1=0⇒0=0
(ii) 2(3)−2=−1⇒6−7=−1⇒−1=−1
x=4,y=9⇒ (i) 2(3)−9+1=0⇒8−9+1=0⇒0=0
(ii) 2(4)−8=−1⇒8−9=1⇒−1=−1
Therefore the fraction can be }$