2021 CMC 12A Problems/Problem 4
- The following problem is from both the 2021 CMC 12A #4 and 2021 CMC 10A #5, so both problems redirect to this page.
Contents
[hide]Problem
There exists a positive integer such that What is the sum of the digits of ?
Solution
Let . Then or , so whose digits sum to .
Video Solution
~Punxsutawney Phil
See also
2021 CMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 3 |
Followed by Problem 5 |
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 CMC 12 Problems and Solutions |
2021 CMC 10A (Problems • Answer Key • Resources) | |
Preceded by Problem 4 |
Followed by Problem 6 |
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 CMC 10 Problems and Solutions |
The problems on this page are copyrighted by the MAC's Christmas Mathematics Competitions.