One number is 6 times another. The sum of their reciprocals is 7/3 . Find the numbers.

Answer 1

x = one number

6x = the other number

1/x + 1/(6x) = 7/3

Multiply both sides by x and get

1 + 1/6 = 7x/3

7/6 = 7x/3

1/6 = x/3

x = 1/2

6x = 3

Test the answers.