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MathNet 2024-part-04 — 168 problems (EN–VI) Question 5

Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)

Question 5

What is the smallest integer $a \gt 10$ for which:
* $a$ is divisible by $10$ and
* $a + 1$ is divisible by $11$ and
* $a + 2$ is divisible by $12$?