Track / Stage 4 / 236 of 340 #496 of 2000

Problem 496

AMC 12 late, AIME early

Combinatorics Difficulty 4.9 Find the answer

18. In the figure below, the product of the three numbers in each row, each column, and each diagonal is the same. “?” is $\qquad$
\begin{tabular}{|l|l|l|}
\hline $?$ & 1 & \\
\hline 4 & & \\
\hline 5 & & 2 \\
\hline
\end{tabular}

Your answer

Official solution

\begin{tabular}{l}
18 \\
\hline 50
\end{tabular}

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.