A positive integer is twice another. The sum of the reciprocals of the two positive integers is 3/14. Find the two integers.

Answer 1

n = the smaller positive integer

2n = the larger positive integer

1/n + 1/(2n) = 3/14

Multiply both sides by 2n.

2 + 1 = 6n/14

3 = 3n/7

n = 7

2n = 14

Test the answer.

1/7 + 1/14 = 2/14 + 1/14 = 3/14