Difference between revisions of "2015 AIME II Problems/Problem 3"
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The three-digit integers divisible by <math>17</math>, and their digit sum: <cmath> | The three-digit integers divisible by <math>17</math>, and their digit sum: <cmath> | ||
\begin{array}{c|c} | \begin{array}{c|c} | ||
− | m & s(m)\\ | + | m & s(m)\\ \hline |
102 & 3 \\ | 102 & 3 \\ | ||
119 & 11\\ | 119 & 11\\ |
Revision as of 13:01, 26 March 2015
Problem
Let be the least positive integer divisible by whose digits sum to . Find .
Solution 1
The three-digit integers divisible by , and their digit sum:
Thus the answer is .
See also
2015 AIME II (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 | ||
All AIME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.