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AMO 2016 Secondary 1 (Grade 7) Question 6

AMO · AMO 2016 Secondary 1 (Grade 7)

Question 6

Each of the seven digits $1,2,4,5,6,7,9$ is placed, one to a box, to form the two-digit and three-digit arithmetic problem shown. Find the least value of integer $N$ such that $N=83+\square\square\square-(\square\square+\square\square)$.

Question illustration