Question

A fraction becomes 4/5 when 1 is added to each of the n
ecomes 4/5 when l is added to each of the numerator & denominator. Howeyer
if we subtract 5 from each of them it becomes. Then find the denominator of fraction​

Answer 1

Answer:

7/9

Step-by-step explanation:

let the fraction be x/y

1 is added means

x+1/y+1=4/5

5x+5=4y+4

5x-4y=-1

5 is subtracted means

x-5/y-5=1/2

2x-y=5

2 eqn multilply by 5 and 1 eqn by 2

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

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

10x-5y=25

10x-8y=-2

x=7,y=9

then the fraction  is 7/9

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