What digit is represented by $\Delta$ if $144 / \Delta = 1\Delta$, with 1 the tens digit and $\Delta$ the ones digit of the quotient?
To solve this problem, I need to find a single digit that satisfies the equation $144 / \Delta = 1\Delta$. One way to do this is to try different values for $\Delta$ and see if they work. If $\Delta = 8$, then $144 / \Delta = 18$, which has the form $1\Delta$. Therefore, $\Delta = 8$ is the only digit that satisfies the equation. 