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Australian AMC 2022 - Senior Question 7

AMC AUSTRALIA · Australian AMC 2022 - Senior

Question 7

The sum of the numbers on these six cards is $4\sqrt5$. Lily removes one of them. What is the largest possible sum of the remaining five cards?

Question illustration
  1. $4\sqrt5+3\sqrt7$
  2. $4\sqrt5+7\sqrt7$
  3. $4\sqrt5-2\sqrt7$
  4. $4\sqrt5-5\sqrt7$
  5. $4\sqrt5+4\sqrt7$