2015 AIME II Problems/Problem 3
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:
\[\begin{array}{c|c}
m & s(m)\\
102 & 3
119 & 11
136 & 10
153 & 9
170 & 8
187 & 16
204 & 6
221 & 5
238 & 13
255 & 12
272 & 11
289 & 19
306 & 9
323 & 8
340 & 7
357 & 15
374 & 14
391 & 13
408 & 12
425 & 11
442 & 10
459 & 18
476 & 17
\end{array}\] (Error compiling LaTeX. Unknown error_msg)
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 | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: File missing
