Question

Find the fraction which becomes 4 by 5 when 1 is added to both the numerator and the denominator also if 5 is subtracted from both the numerator and denominator it becomes 1 by 2 find the fraction

Answer 1

Step-by-step explanation:

let the fraction be x/y

1 is added:

x+1/y+1=4/5

5x+5=4y+4

5x-4y=-1

5 is subtracted:

x-5/y-5=1/2

2x-y=5

2nd eqaution multiply by 5 and 1st equation multipy by 2

2(5x-4y=-1)=10x-8x=-2

5(2x-y=5)=10x-5y=25

10x-5y=25

10x-8x=-2

x=7

y=9

fraction is 7/9