1988 AJHSME Problems/Problem 14
From AoPSWiki
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 \\ \hline36 &a...](http://alt1.artofproblemsolving.com/Forum/latexrender/pictures/0/6/3/06313c042341e3c1ad4d30d4d7d6abdb04a2a756.gif)
Clearly 
is the largest.
See Also
| 1988 AJHSME (Problems • 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 | ||
