Difference between revisions of "1997 AHSME Problems/Problem 16"

(Created page with "==Problem== The three row sums and the three column sums of the array <cmath> \left[\begin{matrix}4 & 9 & 2\\ 8 & 1 & 6\\ 3 & 5 & 7\end{matrix}\right] </cmath> are the same. ...")
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Revision as of 09:45, 9 August 2011

Problem

The three row sums and the three column sums of the array

\[\left[\begin{matrix}4 & 9 & 2\\ 8 & 1 & 6\\ 3 & 5 & 7\end{matrix}\right]\]

are the same. What is the least number of entries that must be altered to make all six sums different from one another?