Difference between revisions of "1992 AJHSME Problems/Problem 3"
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Revision as of 21:43, 3 October 2009
Problem
What is the largest difference that can be formed by subtracting two numbers chosen from the set 
?
Solution
To maximize anything of the form 
, we maximize 
and minimize 
. The maximal element of the set is 
and the minimal element is 
, so the maximal difference is
![\[12-(-16)=28\rightarrow \boxed{\text{D}}.\]](http://latex.artofproblemsolving.com/4/1/3/4130909a3cf950d7c81705d012d16db74a7e91d2.png)
See Also
| 1992 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 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 | ||
