Question

if 5 is added to the numerator and 3 is subtracted from the denominator of a fraction the value of a fraction becomes 2. when nine times of the numerator of a fraction is equal to 7 times of its denominator what is the value of a fraction​

Answer 1

let numerator is equals to x and denominator is equals to y.

so fraction is equals to x/y

9X =7y (given)

so x=7y/9.

x+5/y-3=2(given)

so x+5=2y-6

x+5+6=2y

x+11=2y

x=2y-11

putting x is equals to 7y/9

7y/9=2y - 11

7 y is equals to 18 y - 99

-11 y =-99

y=9

9 x is equals to 7 y

9 x is equals to 7 * 9

9 x is equals to 63

x is equals to 7.

so fraction =x/y=7/9