<PRE><B>Question 1034425</B>
The sum of the reciprocals of two consecutive positive numbers is 17/12. Find the numbers. 
-----
Integers:: x ; x+1
---
Reciprocals:: 1/x ; 1/(x+1)
-----
Equation:
1/x + 1/(x+1) = 17/12
--------
12(x+1) + 12x = 17x(x+1)
-----------------------------
24x + 12 = 17x^2 + 17x
17x^2 - 7x - 12 = 0
------
x =1.07... (That is not an integer; please check your post)
----
Cheers,
Stan H.
------------- </PRE>