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UKMT Grey Kangaroo, 2019

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A four-digit integer is written on each of three pieces of paper and the pieces of paper are arranged so that three of the digits are covered, as shown. The sum of the three four-digit integers is $10126$ . What are the covered digits?

(A) $5, 6$ and $7$ (B) $4, 5$ and $7$ (C) $4, 6$ and $7$ (D) $4, 5$ and $6$ (E) $3, 5$ and $6$

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