Home Competitions KöMaL 2021 C1665
Each letter of the word K O ¨ MAL \textit{KÖMAL} K O ¨ MAL denotes a digit in decimal notation. Given the equalities below, determine the value of the five-digit number K O ¨ MAL ‾ \overline{\textit{KÖMAL}} K O ¨ MAL . M + O ¨ + L = K A ‾ , O ¨ + L = K K ‾ , 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*} M + O ¨ + L O ¨ + L K + O ¨ + M A ⋅ L = K A , = K K , = 10 , = 42. ( 1 ) ( 2 ) ( 3 ) ( 4 )
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