Question

in a fraction ,twice the numeratoris 2 more than the denominator . if 3 is added to the numerator and to the denominator , the new fraction is 2/3. find the orginal fraction.

Answer 1

numerator is =x
denominator is =2x-2
if 3 is added fraction is = 2/3
x+3/2x-2+3=2/3
x+3/2x+1 = 2/3
3x+9=4x+2
x=7
then, numerator is 7
denominator is 12
therefore fraction is 7/12