Difference between revisions of "2021 Fall AMC 12B Problems/Problem 1"
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+ | {{duplicate|[[2021 Fall AMC 10B Problems#Problem 1|2021 Fall AMC 10B #1]] and [[2021 Fall AMC 10B Problems#Problem 1|2021 Fall AMC 12B #1]]}} | ||
==Problem== | ==Problem== | ||
What is the value of <math>1234+2341+3412+4123?</math> | What is the value of <math>1234+2341+3412+4123?</math> |
Revision as of 22:26, 23 November 2021
- The following problem is from both the 2021 Fall AMC 10B #1 and 2021 Fall AMC 12B #1, so both problems redirect to this page.
Problem
What is the value of
Solution 1
We see that and each appear in the ones, tens, hundreds, and thousands digit exactly once. Since , we find that the sum is equal to
Note: it is equally valid to manually add all 4 numbers together to get the answer.
~kingofpineapplz
See Also
2021 Fall AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
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 AMC 10 Problems and Solutions |
2021 Fall AMC 12B (Problems • Answer Key • Resources) | |
Preceded by First Problem |
Followed by Problem 2 |
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 AMC 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.