Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine the two numbers.

Question

These are the options:

–9 and –11

11 and 13

8 and 10

9 and 11

Answer 1

The numbers are 2k-1 and 2k+1.

[i/(2k-1)] - [1/(2k+1)] = 2/143

When you evaluate the left hand side you get 2/(4k² - 1).

You finish it.