olymmath

KöMaL 2017 C1406

    What is the four-digit number abcd‾\overline{abcd} if a+b=c+da+b=c+d, a+d=ca+d=c, 2(a+c)=b+d{2(a+c)}=b+d, and 3ab‾=cd‾3\overline{ab}=\overline{cd}?

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