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AMO · 2027 · Grades 4-5 · SET 25 - Self-study Question 3

AMO

Question 3

Each of the whole numbers 1 through 9 is written on 9 cards, one number per card. Three cards are dealt to each of the three players. The sum of Player One's cards is 15. The sum of Player Two's cards is 23. What is the highest single card Player Three could have?

Enter only the whole-number answer, without units.