Question

If the same integer is added to the numerator of the fraction 2 upon 7 and subtracted from the denominator the fraction becomes 2what is the integer

Answer 1

Let the fraction be X/y. Then by the
given question,
(x+2)/y-x/y-1/2
or, (x+2)/y-x/y -1/2
or,( x+2-x)/y 1/2
or, 2/y=-1/2
or, y/2=-2
or, y-4
x/(y-1) x/y-1/3
or, x/(-4-1)x/(-4)-1/3
or, -x/5--x/4-1/3
or, -x/5+x/4-1/3
or, (-4x+5x)/20--1/3
or, X/20=-1/3
or, X=-20/3
then, x/y=(-20/3)/-4=-5/3