MathDB
3 by 3 Array Of Squares

Source: Problem #15 2016 AMC 10B

February 21, 2016
AMC10AMCAMC 10AMC 10 B

Problem Statement

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?
<spanclass=latexbold>(A)</span> 5<spanclass=latexbold>(B)</span> 6<spanclass=latexbold>(C)</span> 7<spanclass=latexbold>(D)</span> 8<spanclass=latexbold>(E)</span> 9<span class='latex-bold'>(A)</span>\ 5\qquad<span class='latex-bold'>(B)</span>\ 6\qquad<span class='latex-bold'>(C)</span>\ 7\qquad<span class='latex-bold'>(D)</span>\ 8\qquad<span class='latex-bold'>(E)</span>\ 9