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AMO 2016 Secondary 2 (Grade 8) Question 5

AMO · AMO 2016 Secondary 2 (Grade 8)

Question 5

Each of the nine digits $1,2,3,4,5,6,7,8,9$ is placed, one to a box, to form the two-digit and three-digit arithmetic problem shown. Find the least integer $N$ such that $N=\square\square+\square\square\square-(\square\square+\square\square)+1000$.

Question illustration