143. For some values of $n \in \mathbb{N}$, if $3 \mid 13n + 3$ and $7 \mid n + 4$ and $\alpha \neq 1$, then what is the smallest sum of digits of $n$? (1) $7$ (2) $8$ (3) $9$ (4) $10$
\textbf{143.} For some values of $n \in \mathbb{N}$, if $3 \mid 13n + 3$ and $7 \mid n + 4$ and $\alpha \neq 1$, then what is the smallest sum of digits of $n$?
(1) $7$ \hfill (2) $8$ \hfill (3) $9$ \hfill (4) $10$
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