Difference between revisions of "1997 AHSME Problems/Problem 16"
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. ...") |
Talkinaway (talk | contribs) (→Problem) |
||
| Line 6: | Line 6: | ||
are the same. What is the least number of entries that must be altered to make all six sums different from one another? | are the same. What is the least number of entries that must be altered to make all six sums different from one another? | ||
| + | |||
| + | <math> \textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5 </math> | ||
Revision as of 08:47, 9 August 2011
Problem
The three row sums and the three column sums of the array
![\[\left[\begin{matrix}4 & 9 & 2\\ 8 & 1 & 6\\ 3 & 5 & 7\end{matrix}\right]\]](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?
