Question 2
The number $n$ can be written in base $14$ as $\underline{a}\,\underline{b}\,\underline{c},$ can be written in base $15$ as $\underline{a}\,\underline{c}\,\underline{b},$ and can be written in base $6$ as $\underline{a}\,\underline{c}\,\underline{a}\,\underline{c},$ where $a \gt 0.$ Find the base-$10$ representation of $n.$