Problem C

Odd Boxes

The first \(9\) positive odd integers are placed in the following \(3\) by \(3\) grid in such a way that the sum of the numbers in each row, column and main diagonal is the same. Four of the numbers are shown and the other five numbers are represented by the letters \(A\), \(B\), \(C\), \(D\), and \(E\).

Determine the values of \(A\), \(B\), \(C\), \(D\), and \(E\).

\[\begin{array}{|c|c|c|} \hline A & 5 & B \\\hline C & D & 17 \\\hline 11 & 13 & E \\\hline \end{array}\]

**Theme:** Number Sense