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Statements For Positive Integers (2022 AMC 8 P13)

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January 25, 2022
AMC 82022 AMC 8

Problem Statement

How many positive integers can fill the blank in the sentence below?
"One positive integer is      ‾\underline{~~~~~} more than twice another, and the sum of the two numbers is 28."
<spanclass=′latex−bold′>(A)</span> 6<spanclass=′latex−bold′>(B)</span> 7<spanclass=′latex−bold′>(C)</span> 8<spanclass=′latex−bold′>(D)</span> 9<spanclass=′latex−bold′>(E)</span> 10<span class='latex-bold'>(A)</span> ~6\qquad<span class='latex-bold'>(B)</span> ~7\qquad<span class='latex-bold'>(C)</span> ~8\qquad<span class='latex-bold'>(D)</span> ~9\qquad<span class='latex-bold'>(E)</span> ~10\qquad
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