1997 AHSME Problems/Problem 16
Revision as of 08:45, 9 August 2011 by Talkinaway (talk | contribs) (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. ...")
Problem
The three row sums and the three column sums of the array
![\[\left[\begin{matrix}4 & 9 & 2\\ 8 & 1 & 6\\ 3 & 5 & 7\end{matrix}\right]\]](http://latex.artofproblemsolving.com/a/b/e/abe9ce134dc17ff83eff2313ff77c9b7ea7e5289.png)
are the same. What is the least number of entries that must be altered to make all six sums different from one another?
