Question

A fraction becomes 4/5 if one is added
to both the numerators and denominators
If 5 is subracted from both numerator
and denominator the fraction becomes 1/2
Find the fraction​

Answer 1

Answer:

x=7,y=9

Step-by-step explanation:

let us take numerator=x

denominator=y

x+1/y+1=4/5

cross multiplying

5x+5=4y+4

5x-4y+1=0............(1)

x-5/y-5=1/2

2x-10=y-5

2x-y-5=0...........(2)

2x=y+5

x=(y+5)/2.........(3)

put (3) in (1)

5x-4y+1=0

5((y+5)/2)-4y+1=0

(5y+25-8y+2)/2=0

-3y+29=0

3y=27

y=9....(4)

put(4) in (1)

5x-(4x9)+1=0

5x-36+1=0

5x=35

x=7

hence fraction is 7/9