Difference between revisions of "AMC 12C 2020"

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==Problem 1==
 
==Problem 1==
  
 
What is the sum of the solutions to the equation <math>(x + 5)(x + 4) - (x + 5)(x - 6) = 100</math>?
 
What is the sum of the solutions to the equation <math>(x + 5)(x + 4) - (x + 5)(x - 6) = 100</math>?
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==Problem 2==
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How many increasing subsets of <math>{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}</math> contain no <math>2</math> consecutive prime numbers?

Revision as of 12:16, 20 April 2020


Problem 1

What is the sum of the solutions to the equation $(x + 5)(x + 4) - (x + 5)(x - 6) = 100$?


Problem 2

How many increasing subsets of ${1, 2, 3, 4, 5, 6, 7, 8, 9, 10}$ contain no $2$ consecutive prime numbers?