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2020 AMC 10AProblem 7P1-10~2 minPrint
Sequences & SeriesSets, Estimation & MiscellaneousSet up the equation/formula and compute; no special trick neededExploit symmetry to reduce work or pair up objects

The 2525 integers from −10-10 to 14,14, inclusive, can be arranged to form a 55 -by- 55 square in which the sum of the numbers in each row, the sum of the numbers in each column, and the sum of the numbers along each of the main diagonals are all the same. What is the value of this common sum?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.