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Australian AMC 2014 - Middle Primary Question 25

AMC AUSTRALIA · Australian AMC 2014 - Middle Primary

Question 25

In this magic square, the even numbers 2, 4, 6, …, 18 are placed so that the sums of the numbers in each row, column and diagonal are equal. What is the sum of the two numbers in the shaded squares?

| Column1 | Column2 | Column3 |
| --- | --- | --- |
| — | 18 | ? (shaded) |
| 14 | ? (shaded) | 6 |
| — | — | 16 |

Question illustration
  1. 12
  2. 14
  3. 18
  4. 22
  5. 28