Are positive integers $m$ and $n$ both multiples of $3?$

Are positive integers $m$ and $n$ both multiples of $3?$

(1) Two-digit number $mn,$ where $m$ is the tens digit and $n$ is the units digit, is a multiple of $9.$
(2) $n$ is a multiple of $3.$

Answer: C

Source: GMAT Club Tests

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