Question

if 1 is added to both numerator and denominator of a given fraction it
becomes 4 by 5 if however 5 subtracted from both the numerator and denominator the fraction becomes 1 by 2 find the fraction​

Answer 1

Answer:

Let fraction be x/y

if 1 is added to both numerator and denominator the

x+1/y+1=4/5

5(x+1)=4(y+1)

5x-4y=-1

and, is 5 is subtraced from both numerator and denominator then

x-5/y-5=1/2

2(x-5)=(y-5)

2x-y=5

On solving above equations

x=7 and y=9

So fraction is 7/9