2014 AIME II Problem 4

The repeating decimals 0.abab\overline{ab} and 0.abcabc\overline{abc} satisfy

0.abab\overline{ab}+0.abcabc\overline{abc}=\frac{33}{37},

where a, b, and c are (not necessarily distinct) digits. Find the three digit number abc.

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.