AMC 10 Step by Step
2016 AMC 10BProblem 15P11-15~3 minPrint

All the numbers 1,2,3,4,5,6,7,8,91, 2, 3, 4, 5, 6, 7, 8, 9 are written in a 3×33\times3 array of squares, one number in each square, in such a way that if two numbers are consecutive then they occupy squares that share an edge. The numbers in the four corners add up to 1818 . What is the number in the center?

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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.