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It is possible to place positive integers into the vacant twenty-one squares of this  grid so that the numbers in each row and column form an arithmetic sequence. Find the number that must occupy the vacant square marked by the heart.

How do I find the value of the red heart? thank you

$$\begin{array}{| *5{@{}c@{}|}} \hline \qquad & \qquad & \qquad & \textcolor{red}{\heartsuit} & \qquad \\ \hline & 74 & & \qquad & \\ \hline & & & & 186 \\ \hline & & 103 & & \\ \hline 0 & & & & \\ \hline \end{array}$$

Sep 2, 2020
edited by Guest  Sep 2, 2020