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Australian AMC 2021 - Intermediate Question 21

AMC AUSTRALIA · Australian AMC 2021 - Intermediate

Question 21

We want to place numbers into each blank square in this diagram so that each number placed is the average of those in the squares directly connected to it. What number should we put in the middle square of the top row?

Editable grid; connections are horizontal and vertical only:

|Column 1|Column 2|Column 3|
|---|---|---|
|1|?|2|
|?|?|?|
|4|?|3|


Question illustration
  1. $5/3$
  2. $3/2$
  3. $10/9$
  4. $11/9$
  5. $11/6$