The denominator of rational number is GreaTer than it numerator by 7.if 3subtracted to numerator and 2added to denominator the newnumber become 1/5 find the origina number

.

Let numerator be ×

Then denominator will be ×+7.
Now,3 subtracted from numerator and 2 added to denominator.
×-3/×+7+2
=×-3/×+9
Now it is equals to 1/5
×-3/×+9 = 1/5
By cross multiplication,
5 (×-3)=1 (×+9)
5×-15=×+9
5×-×=9+15
4×=24
×=24/4
×=6
Now,numerator=6
Denominator=×+7
=13
So,
Fraction =6/13