Difference between revisions of "2021 Fall AMC 10B Problems/Problem 12"
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<math>\textbf{(D)} \: x=z</math> and <math>y-1=x</math> | <math>\textbf{(D)} \: x=z</math> and <math>y-1=x</math> | ||
<math>\textbf{(E)} \: x+y+z=1</math> | <math>\textbf{(E)} \: x+y+z=1</math> | ||
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==Solution 1== | ==Solution 1== |
Revision as of 08:16, 23 November 2021
Problem 12
Which of the following conditions is sufficient to guarantee that integers ,
, and
satisfy the equation
and
and
and
and
Solution 1
Plugging in every choice, we see that choice works. We have
, so
Our answer is
.
~kingofpineapplz
See Also
2021 Fall AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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 |
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