# The difference of the reciprocals of two consecutive integers is 1/72. What are the two integers?

##### 1 Answer

Apr 26, 2017

#### Explanation:

Let the consecutive integers be

The difference of their reciprocals is equal to

Simplify the left side of the equation

The numerators of the fractions are equal, so as the denominators

Factor it

Solve for the values of

Consider the positive value to get the correct answer

So, the integers are