Question

In a fraction twice the numerator is 2 more than the denominator if 3 is added to the numerator and to the denominator the new fraction is 2/ 3 find the original number.

Answer 1

Let the numerator be x
denominator = 2x-2
3 is added :-
Numerator= x+3
Denominator= 2x-2+3
=2x+1
x+3/2x+1=2/3
3(x+3)=2(2x+1)
3x+9=4x+2
3x-4x=2-9
-x=-7
x=7
Original Numerator = x = 7
Original Denominator = 2x-2
= 2(7)-2
= 14-2
= 12
Original Fraction = 7/12