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Equally Spaced Numbers On A Number Line (2022 AMC 8 P6)

Source:

January 25, 2022
AMC 82022 AMC 8

Problem Statement

Three positive integers are equally spaced on a number line. The middle number is 1515, and the largest number is 44 times the smallest number. What is the smallest of these three numbers?
<spanclass=latexbold>(A)</span> 4<spanclass=latexbold>(B)</span> 5<spanclass=latexbold>(C)</span> 6<spanclass=latexbold>(D)</span> 7<spanclass=latexbold>(E)</span> 8<span class='latex-bold'>(A)</span> ~4\qquad<span class='latex-bold'>(B)</span> ~5\qquad<span class='latex-bold'>(C)</span> ~6\qquad<span class='latex-bold'>(D)</span> ~7\qquad<span class='latex-bold'>(E)</span> ~8\qquad