Question 7
Let $a$, $b$ and $c$ be three different digits such that
$$\frac1{\overline{ab}\times\overline{bc}}+\frac1{\overline{bc}\times\overline{ca}}+\frac1{\overline{ca}\times\overline{ab}}=\frac{11}{3321}.$$
What is the numerical value of $\overline{ab}+\overline{bc}+\overline{ca}$?
$$\frac1{\overline{ab}\times\overline{bc}}+\frac1{\overline{bc}\times\overline{ca}}+\frac1{\overline{ca}\times\overline{ab}}=\frac{11}{3321}.$$
What is the numerical value of $\overline{ab}+\overline{bc}+\overline{ca}$?