1992 AJHSME Problems/Problem 7
Revision as of 14:43, 29 July 2011 by Math Kirby (talk | contribs) (Created page with "== Problem 7 == The digit-sum of <math>998</math> is <math>9+9+8=26</math>. How many 3-digit whole numbers, whose digit-sum is <math>26</math>, are even? <math>\text{(A)}\ 1 \...")
Problem 7
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 .