Question

the denominator of a rational number is greater than its numerator by 3. if 3 is substractedfrom the numeratorand 2 is added to the demoninator,the new number becomes 1/5. Find the original number.​

Answer 1

Answer:

Step-by-step explanation:

Let the denominator be Y and numerator be X.

Y+3=X..........(1st equation)

X-3/Y+2=1/5

Cross multiplication

5(X-3)=1(Y+2)

5X-15=Y+2

5X-Y=2+15

5X-Y=17

Put value of X from eq 1st

5(Y+3)-Y=17

5Y+15-Y=17

5Y-Y=17-15

4Y=2

Y=2%4=1/2

Put value of Y in eq 1st

X=1/2+3

X=7/2