Difference between revisions of "1994 AJHSME Problems/Problem 8"
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Latest revision as of 23:13, 4 July 2013
Problem
For how many three-digit whole numbers does the sum of the digits equal 
?
Solution
Because 
, it follows that one of the digits must be a 
. The other two digits them have a sum of 
. The groups of digits that produce a sum of are 
and can be arranged as follows
![\[799,979,997,889,898,988\]](http://latex.artofproblemsolving.com/6/1/d/61d91bf433513a2be7ef32a4fcb9b07005778dff.png)
The number of configurations is 
.
See Also
| 1994 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 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. 
