Difference between revisions of "1988 AJHSME Problems/Problem 14"
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{{AJHSME box|year=1988|num-b=13|num-a=15}} | {{AJHSME box|year=1988|num-b=13|num-a=15}} | ||
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
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Revision as of 23:55, 4 July 2013
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.
See Also
1988 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.