Home Competitions RU-ALLRUSSIAN 1974 Problem 13
RU-ALLRUSSIAN 1974 Problem 13
Find all three digit decimal numbers a 1 a 2 a 3 \mathrm{a_1a_2a_3} a 1 a 2 a 3 which equal the mean of the six numbers a 1 a 2 a 3 \mathrm{a_1a_2a_3} a 1 a 2 a 3 , a 1 a 3 a 2 \mathrm{a_1a_3a_2} a 1 a 3 a 2 , a 2 a 1 a 3 \mathrm{a_2a_1a_3} a 2 a 1 a 3 , a 2 a 3 a 1 \mathrm{a_2a_3a_1} a 2 a 3 a 1 , a 3 a 1 a 2 \mathrm{a_3a_1a_2} a 3 a 1 a 2 , a 3 a 2 a 1 \mathrm{a_3a_2a_1} a 3 a 2 a 1 .
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