1997 AHSME Problems/Problem 16

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?

$\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5$

1997 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 15	Followed by Problem 17
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