I am self-studying Multiplication and Division. This is a problem I encountered and have hard time with it. I have no clue where to start. In fact, I have read this problem many times, wondering whether it is a valid problem.
In the division problem, the letters a, b, c, d, and e represent five different digits. Find the digit represented by c.
The second subtraction implies $e=2$ and $d=3$. Also, $a \cdot b = 35$. So either $a=5$ or $a=7$.
If $a=7$, then the first subtraction does not make sense since $c-a=3$ implies $c=10$, but $c$ has to be a single digit. Thus $a=5$ and $c=a+3=8$.