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find digits for a sum

Source: 2022 May Olympiad L1 p3

September 5, 2022
number theory

Problem Statement

Choose nine of the digits from 00 to 99 and place them in the boxes in the figure so that there are no repeated digits and the indicated sum is correct. https://cdn.artofproblemsolving.com/attachments/6/2/7f06575ec70eb9ddd58c6cf9dd3cb60d306e7c.png Which digit was not used? You can fill in the boxes so that the unused digit is other?