Correct 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 fraction.

Given :

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.

To find :

The original fraction.

Solution :

Let the numerator be x and the denominator be y .

According to the 1st condition :-

In a fraction, twice the numerator is 2 more than the denominator.

According to 2nd condition :-

If 3 is added to the numerator and to the denominator, the new fraction is 2/3.

✪ Now put the value of y=2x-2 from eq (1)✪

✪ Now put x = 7 in eq(1) ✪

★ Numerator = 7

★ Denominator = 12

Therefore,