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AMO 2027 Grades 9-11 SET 1 - Self-study Question 15

AMO · AMO 2027 Grades 9-11 SET 1 - Self-study

Question 15

The integers from 1 through 10 inclusive are placed in the 10 circles shown, with one integer in each circle. Each number in the upper 3 rows is the positive difference between the numbers in the 2 circles immediately below it. Find the sum of A and B. Each integer is used exactly once.

Question illustration

Enter one positive integer, without units.