1988 AJHSME Problems/Problem 14
Revision as of 11:57, 19 April 2009 by 5849206328x (talk | contribs) (New page: ==Problem== <math>\diamondsuit </math> and <math>\Delta </math> are whole numbers and <math>\diamondsuit \times \Delta =36</math>. The largest possible value of <math>\diamondsuit + \Del...)
Problem
and 
are whole numbers and 
. The largest possible value of 
is
Solution
Since it doesn't take too long, we can just make a table with all the possible values of the sum:
\[\begin{tabular}[t]{|c|c|c|}
\multicolumn{3}{t}{} \\ \hline
\diamondsuit & \Delta & \diamondsuit + \Delta \\ \hline
36 & 1 & 37 \\ \hline
18 & 2 & 20 \\ \hline
12 & 3 & 15 \\ \hline
9 & 4 & 13 \\ \hline
6 & 6 & 12 \\ \hline
\end{tabular}\] (Error compiling LaTeX. Unknown error_msg)
Clearly 
is the largest.
