1987 AIME Problem 15

Squares S_1 and S_2 are inscribed in right triangle ABC, as shown in the figures below. Find AC + CB if area (S_1) = 441 and area (S_2) = 440.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.