Find the two positive integers

Question

A positive integer is four more than another. The differnece of the reciprocals of the two positive integers is 1/15. Find the two positive integers?

Answer 1

Step 1:

A positive integer is four more than the another.

Let the second integer as .

Therefore first integer is .

Difference of the reciprocals of two positive integers is .

Thus,

or .

or .

Here it is needed to consider positive integer only.

Therefore, .

And the first integer is .

Solution:

The two positive integers are 10 and 6.