Difference between revisions of "2014 AMC 10B Problems/Problem 10"
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In the addition shown below <math>A</math>, <math>B</math>, <math>C</math>, and <math>D</math> are distinct digits. How many different values are possible for <math>D</math>? | In the addition shown below <math>A</math>, <math>B</math>, <math>C</math>, and <math>D</math> are distinct digits. How many different values are possible for <math>D</math>? | ||
| − | + | <cmath>\begin{array}[t]{r} | |
ABBCB \\ | ABBCB \\ | ||
+ \ BCADA \\ \hline | + \ BCADA \\ \hline | ||
DBDDD | DBDDD | ||
| − | \end{array} | + | \end{array}</cmath> |
==Solution== | ==Solution== | ||
Revision as of 18:28, 20 February 2014
Problem
In the addition shown below 
, 
, 
, and 
are distinct digits. How many different values are possible for ?
![\[\begin{array}[t]{r} ABBCB \\ + \ BCADA \\ \hline DBDDD \end{array}\]](http://latex.artofproblemsolving.com/4/3/a/43a9d725cbf38b81b4523dbd012ce90bbd022cea.png)
Solution
See Also
| 2014 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
