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1988 AJHSME Problems/Problem 14

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Problem

\diamondsuit and \Delta are whole numbers and \diamondsuit \times \Delta =36. The largest possible value of \diamondsuit + \Delta is

\text{(A)}\ 12 \qquad \text{(B)}\ 13 \qquad \text{(C)}\ 15 \qquad \text{(D)}\ 20\ \qquad \text{(E)}\ 37

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 \\ \hline36 &a...

Clearly 37\rightarrow \boxed{\text{E}} is the largest.

See Also

1988 AJHSME (ProblemsResources)
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
Want to learn how to tackle those tough MATHCOUNTS and AMC counting and probability problems? Check out Art of Problem Solving's Introduction to Counting & Probability by David Patrick.
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