It's only a flesh wound

Logic Level 2

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You are given that the numbers 1 , 2 , 3 , , 9 1,2,3,\ldots,9 are to be filled in the square boxes as shown above (without repetition) such it is a sum of three 3-digit integers.

Of all 9 ! = 362880 9!=362880 possible arrangements, let M M and m m denote the maximum and minimum value of the resultant number. Find the value of M m M-m .


The answer is 1782.

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1 solution

Marc Ferrer
Aug 24, 2015

(963+852+741)-(147+258+369)=1782

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