MathDB
Czech republic,district round,2009,problem 1

Source:

February 18, 2012
modular arithmeticnumber theory proposednumber theory

Problem Statement

given a 4-digit number (abcd)10(abcd)_{10} such that both(abcd)10(abcd)_{10}and(dcba)10(dcba)_{10} are multiples of 77,having the same remainder modulo 3737.find a,b,c,da,b,c,d.
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