MathDB

The grid below is to be filled with integers in such a way that the sum of the numbers in each row and the sum of the numbers in each column are the same. Four numbers are missing. The number

x

in the lower left corner is larger than the other three missing numbers. What is the smallest possible value of

x

? [asy] unitsize(0.5cm); draw((3,3)--(-3,3)); draw((3,1)--(-3,1)); draw((3,-3)--(-3,-3)); draw((3,-1)--(-3,-1)); draw((3,3)--(3,-3)); draw((1,3)--(1,-3)); draw((-3,3)--(-3,-3)); draw((-1,3)--(-1,-3)); label((-2,2),"

-2

"); label((0,2),"

9

"); label((2,2),"

5

"); label((2,0),"

-1

"); label((2,-2),"

8

"); label((-2,-2),"

x

"); [/asy]

<span class='latex-bold'>(A) </span> -1 \qquad <span class='latex-bold'>(B) </span> 5 \qquad <span class='latex-bold'>(C) </span> 6 \qquad <span class='latex-bold'>(D) </span> 8 \qquad <span class='latex-bold'>(E) </span> 9 \qquad

Problem Statement