Difference between revisions of "1997 AJHSME Problems/Problem 2"
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* [[AJHSME Problems and Solutions]] | * [[AJHSME Problems and Solutions]] | ||
* [[Mathematics competition resources]] | * [[Mathematics competition resources]] | ||
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Latest revision as of 00:26, 5 July 2013
Problem
Ahn chooses a two-digit integer, subtracts it from 200, and doubles the result. What is the largest number Ahn can get?
Solution
The smallest two-digit integer he can subtract from 
is 
. This will give the largest result for that first operation, and doubling it will keep it as the largest number possible.
![\[200-10=190\]](http://latex.artofproblemsolving.com/f/4/5/f45c9a96763005dd5ecb4ecc455aa9b685c8d9f6.png)
![\[190\times2=380\]](http://latex.artofproblemsolving.com/5/3/b/53b73091b79116107e1e3aa2f2fe74267da95707.png)
See also
| 1997 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 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. 
