Difference between revisions of "1992 AJHSME Problems/Problem 7"
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Revision as of 00:09, 5 July 2013
Problem
The digit-sum of is
. How many 3-digit whole numbers, whose digit-sum is
, are even?
Solution
The hightest digit sum for three-digit numbers is . Therefore, the only possible digit combination is
. Of course, of the three possible numbers, only
works. Thus, the answer is
.
See Also
1992 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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.