## Problem of the Week

**Two Spheres in a Room...**

-------3/26/07-------

There are two spherical balls of different sizes lying in two corners of a rectangular room, each touching two walls and the floor. If there is one point on each ball that is 5 inches from each wall which that ball touches and 10 inches from the floor, then find the sum of the diameters of the balls.

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__AHSME 1977__)