**Problem 1**

The sum of a pair of
unequal positive numbers is equal to their product. Find the set of all such
pairs.

[Problem
submitted by Roger Wolf, LACC Chairman of Mathematics.]

**Solution for Problem 1:**

_{}.

When _{} = _{}, _{}.

∴ The solution set is {_{}∣ _{} > 1 and t ¹ 2}