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, 2023

Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

For a given list of three numbers, the operation "changesum" replaces each number in the list with the sum of the other two. For example, applying "changesum" to $3, 11, 7$ gives $18, 10, 14$ . Arav starts with the list $20, 2, 3$ and applies the operation "changesum" $2023$ times. What is the largest difference between two of the three numbers in his final list?

(A) $17$ (B) $18$ (C) $20$ (D) $2021$ (E) $2023$

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