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Australian AMC 2023 - Junior Question 27

AMC AUSTRALIA · Australian AMC 2023 - Junior

Question 27

Amelia noticed that Mei, Emma and Liam are all made from letters of “Amelia”. She chooses different digits from 0 to 9 for A, E, I, L and M so that

$M+E+I=E+M+M+A=L+I+A+M$.

What is the largest possible value of $A+M+E+L+I+A$?

Question illustration

Question illustration