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

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

Question 12

Tom writes three different two–digit numbers on the board. The three tens digits of the three numbers are 1, 2, and 3, and so are their three unit digits. However, none of the three numbers has the same tens and unit digit. One of the three numbers are 12. What are the other two numbers?

**Editorial input format:** Enter both other numbers, separated by a comma.

**Editorial input note:** Enter the smaller number first, with a comma and no spaces between the two numbers.