A positive integer is twice another the difference of the reciprocal of the to positive integer is 1/8

The positive integers are 8 and 4

Step-by-step explanation:

Let the bigger integer be x, and the smaller be y, then

The difference of their reciprocals is 1/8.

Multiply through the second equation by 8xy

Substitute the first equation into this last equation:

or

But y≠0, since division by zero is not defined.

Therefore y=4 and x=8