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Source: 2022 AMC 10A #3 / 2022 AMC 12A #2

November 11, 2022
2022 AMC2022 AMC 10a2022 AMC 12AAMC 10AMC 12algebraAMC

Problem Statement

The sum of three numbers is 9696. The first number is 66 times the third number, and the third number is 4040 less than the second number. What is the absolute value of the difference between the first and second numbers?
<spanclass=latexbold>(A)</span>1<spanclass=latexbold>(B)</span>2<spanclass=latexbold>(C)</span>3<spanclass=latexbold>(D)</span>4<spanclass=latexbold>(E)</span>5<span class='latex-bold'>(A) </span> 1 \qquad <span class='latex-bold'>(B) </span> 2 \qquad <span class='latex-bold'>(C) </span> 3 \qquad <span class='latex-bold'>(D) </span> 4 \qquad <span class='latex-bold'>(E) </span> 5