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Problem 4

Source: Paraguayan Mathematical Olympiad 2012

October 15, 2012
number theory proposednumber theory

Problem Statement

Find all four-digit numbers abcd‾\overline{abcd} such that they are multiples of 33 and that ab‾−cd‾=11\overline{ab}-\overline{cd}=11. (abcd‾\overline{abcd} is a four-digit number; ab‾\overline{ab} is a two digit-number as cd‾\overline{cd} is).
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