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AMO · 2027 · Grades 2-3 · Self-study SET 24 Question 1

AMO

Question 1

If the digits of a two-digit number are reversed to form a new number, the difference between the two numbers is 45. How many different such pairs are there?

Use the source convention: a reversed form may start with zero (for example, 04 means 4). Count each pair once, regardless of order.

Question illustration

Enter one whole number, without units.