Let’s find

Let the numerator of a fraction be x

Then given the denominator of the fraction is 2 more than the numerator, so the denominator = x+2

So the fraction is …..(i)

Now according to the given criteria,

when 3 is added to the numerator and 3 subtracted from the denominator = …..(ii)

So from question equation (ii) is equal to ,

Hence

By cross multiplying we get

⇒ 3(x+3)=7(x-1)

⇒ 3x+9=7x-7

⇒ 9+7=7x-3x

⇒ 4x=16

From equation (i), the fraction is

Hence the fraction is