Question 114
Let $a$ and $b$ be natural numbers such that
$$
\frac{3 a^{2}+b}{3 a b+a}
$$
is an integer. Determine all values that the above expression can take.
$$
\frac{3 a^{2}+b}{3 a b+a}
$$
is an integer. Determine all values that the above expression can take.