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MMO 261 Moscow MO 1954 number theory, divisiond by 1 digit numbers

Source:

August 13, 2019
number theory4-digit

Problem Statement

Find a four-digit number whose division by two given distinct one-digit numbers goes along the following lines: https://cdn.artofproblemsolving.com/attachments/2/a/e1d3c68ec52e11ad59de755c3dbdc2cf54a81f.png