2021 Fall AMC 12B Problems/Problem 1
Revision as of 22:20, 23 November 2021 by Kingofpineapplz (talk | contribs) (Created page with "==Problem== What is the value of <math>1234+2341+3412+4123?</math> <math>(\textbf{A})\: 10{,}000\qquad(\textbf{B}) \: 10{,}010\qquad(\textbf{C}) \: 10{,}110\qquad(\textbf{D})...")
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 ![\[10\cdot(1+10+100+1000)=\boxed{(\textbf{E})11,110}.\]](http://latex.artofproblemsolving.com/1/3/7/137d953cbcd2b520d1a0ccf3a8e5dfebcdf71f8f.png)
Note: it is equally valid to manually add all 4 numbers together to get the answer.
~kingofpineapplz
See Also
| 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 | |
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