AlgebraBasic AIME Intermediate
2014


Problem - 101
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 $abc$.

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