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KöMaL 2021 C1665

    Each letter of the word KO¨MAL\textit{KÖMAL} denotes a digit in decimal notation. Given the equalities below, determine the value of the five-digit number KO¨MAL‾\overline{\textit{KÖMAL}}. M+O¨+L=KA‾,O¨+L=KK‾,K+O¨+M=10,A⋅L=42.\begin{align*} M+\textit{Ö}+L & =\overline{KA}, \tag{1}\\ \textit{Ö}+L & =\overline{KK}, \tag{2}\\ K+\textit{Ö}+M & =10, \tag{3}\\ A\cdot{L} & =42. \tag{4} \end{align*}

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