Question

the numerator of a rational no is less than its denominator by 2. if 1 is add to both the numerator and the rational no. obtained is 2/3. find the rational no.

Answer 1

Let the denominator be x
Let the numerator be x-2
A.T.Q
X -2/X=2/3
On, cross multiplication
3(X-2)=2×X
3X-6=2X
3X-2X=6
X=6
Numerator=X-2=6-2=4
Denominator=X=6
So,4/6 is the answer