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AMO · 2027 · Grades 2-3 · Self-study SET 21 Question 14

AMO

Question 14

Zack, Tom and Jim each draw 3 cards from 9 cards numbered 1, 2, 3, …, 9.

Zack: The product of all my numbers is 35.

Tom: The product of all my numbers is 96.

Jim: The sum of my numbers is 16.

What is the second largest number of Jim?

**Editorial note:** The nine distinct cards are shared without replacement: each card goes to exactly one boy. Enter only the number, without units.