Question

A fraction equals 1/2 if 1 is subtracted from both the numerator and Denominator. it is equal to 2/3 if 1 is added to both the numerator and denominator. find the fraction.

Answer 1

x-1/y-1=1/2
=2x-2=y-1
=y=2x-1

x+1/2x-1+1=2/3
=3x+3=4x
x=3
y= 2x-1
=5
req fraction=3/5
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Answer 2

1/2-1 both = 2/3+1 both
0/1=3/4 then cross multiply
4=3
=1 ans