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MathNet 2010 — Part 02 Question 14

Math Olympiad Vault · MathNet 2010 — Part 02

Question 14

Two tables - The rows of the first table are all arithmetic progressions of the same common difference and the columns of this table are all arithmetic progressions of the same common difference. In the second table given, the same training law was used, but someone deleted some numbers leaving only three. what is the number that was in the indicated position with

| 5 | 8 | 11 | 14 | 17 |
| :---: | :---: | :---: | :---: | :---: |
| 12 | 15 | 18 | 21 | 24 |
| 19 | 22 | 25 | 28 | 31 |
| 26 | 29 | 32 | 35 | 38 |
| 33 | 36 | 39 | 42 | 45 |



| | | 39 | | |
| --- | --- | --- | --- | --- |
| | | | | |
| | | | | 87 |
| 56 | | | | |
| | | | $\star$ | |