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MathNet 2003 — Part 03 Question 5

Math Olympiad Vault · MathNet 2003 — Part 03

Question 5

$r$ and $s$ are integers such that
$$
3 r \geq 2 s - 3 \text{ and } 4 s \geq r + 12.
$$
What is the smallest possible value of $r / s$?