the sum of the reciprocals of two consecutive positive numbers is 17/12 . Find the numbers

Answer 1

n and n+1

1/n + 1/(n+1) = 17/12

12(n+1) + 12 n = 17 n(n+1)

12 n + 12 + 12 n = 17 n^2 + 17 n

17 n^2 - 7 n - 12 = 0

hummm, suspect typo

Answer 2

maybe it's 7/12, since

1/3 + 1/4 = 7/12