Question

The denominator of a fraction exceeds its numerator by 3 and if 1 added to both the no , the diffference between the original and new fraction is 1/24

Answer 1

X/X+3

New

X+1/X+4

DIFFERENCE =1/24

X+1/X+4 -X/X+3 =1/24

(X+1)(X+3) -X(X+4)

____________. =1/24

(X+4)(X+3)

X^2 +3X+3+X -X^2-4X

_________________=1/24

X^2+4X+3X+12

X^2+7X+12=72

X^2 +7X-60=0

X^2+12X-5X-60=0

X(X+12) -5(X+12)=0

(X+12)(X-5)=0

X=5

So fraction is 5/8.