Question

The denominator of a rational number is 7 more than the numerator. If 1 is
added to the numerator and 6 is added to the denominator, the value of the
rational number becomes 1/2. Find the rational number.

Answer 1

Answer:

11/18

Step-by-step explanation:

Let the numerator of rational number be x.

Hence, denominator=x+7.

Hence rational number =x/x+7.

If 1 is

added to the numerator and 6 is added to the denominator, the rational number becomes: (x+1)/(x+7+6)=x+1/x+13.

ATP, x+1/x+13=1/2.

I.e,2x+2=x+13.

I.e,2x-x=13-2.

I.e,x=11

Hence numerator=x=11, denominator=x+7=11+7=18

Hence rational no is 11/18