Question:

The numerator of a fraction is two less than the denominator. The sum of the fraction and its reciprocal is 25/12. Find the numerator and denominator is a positive integer.

Answer: 6/8

Where do I start on this problem? Should there only be one variable?

Here is what I tried...but it did not work:

((x-2)/x) + (x/(x-2)) = 25/2