a positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/8. Find the two integers.

Question

A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/8. Find the two integers.

Answer 1

Arthur's previous answer to this same problem here;

 

2x and x are the numbers
1/x - 1/2x=1/8
2/2x - 1/2x=1/8
1/2x=1/8
2x=8
x=4, 2x=8