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AMO 2027 Grades 8-9 SET 16 - Self-study Question 12

AMO · AMO 2027 Grades 8-9 SET 16 - Self-study

Question 12

Question 17. Each of the digits 1, 2, 3, 4, 5, 6 and 7 is placed, one to a box, to form the two 2-digit numbers and one 3-digit number in the arithmetic problem shown.
$$M=\boxed{\phantom{0}}\boxed{\phantom{0}}\boxed{\phantom{0}}-\left(\boxed{\phantom{0}}\boxed{\phantom{0}}-\boxed{\phantom{0}}\boxed{\phantom{0}}\right).$$
What is the least possible value of $M$?