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2022 MMATHS Individual p3 -mistyping sum of 20 first pos. integers

Source:

October 1, 2023
algebraMMATHS

Problem Statement

Luke and Carissa are finding the sum of the first 2020 positive integers by adding them one at a time. Luke forgets to add a number and gets an answer of 207207. Carissa adds a number twice by mistake and gets an answer of 225225. What is the sum of the number that Luke forgot and the number that Carissa added twice?
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