Difference between revisions of "AMC 10 2021 (Mock) Problems"

(Problem 1)
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Given that <math>A + B - C = 2020, B + C - A = 2021,</math> and <math>A + C - B = 2022,</math> what is the value of <math>A + B + C - 2020 - 2021 - 2022</math>?
 
Given that <math>A + B - C = 2020, B + C - A = 2021,</math> and <math>A + C - B = 2022,</math> what is the value of <math>A + B + C - 2020 - 2021 - 2022</math>?
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<math>\mathrm{(A) \ } 0\qquad \mathrm{(B) \ } 2020\qquad \mathrm{(C) \ } 2021\qquad \mathrm{(D) \ } 2022\qquad \mathrm{(E) \ } 6063</math>

Revision as of 12:18, 29 November 2021

Problem 1

Given that $A + B - C = 2020, B + C - A = 2021,$ and $A + C - B = 2022,$ what is the value of $A + B + C - 2020 - 2021 - 2022$?


$\mathrm{(A) \ } 0\qquad \mathrm{(B) \ } 2020\qquad \mathrm{(C) \ } 2021\qquad \mathrm{(D) \ } 2022\qquad \mathrm{(E) \ } 6063$