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AMO · 2027 · Grades 4-5 · Self-study SET 31 Question 7

AMO

Question 7

In the cryptarithm shown, different letters represent different digits and identical letters represent the same digit. What is the greatest value of the three-digit number GOO?

The addition is DUCK + DUCK = GOOSE. Leading digits D and G are nonzero.

Question illustration

Enter one whole number, without units.