2005 PMWC Problems/Problem T9

Problem

Select 8 of the 9 given numbers: 2, 3, 4, 7, 10, 11, 12, 13, 15 and place them in the vacant squares so that the average of the numbers in each row and column is the same. Complete the following table.

$\begin{tabular}{ |c | c | c | c |}      \hline      1 &  &  &  \\ \hline       & 9 & & 5 \\ \hline       & & 14 &  \\ \hline    \end{tabular}$


Solution

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