This is a question from a local past paper. I am either having a mental breakdown or there is a problem in the question. As usual I need a sanity check please. I don't necessarily need the answer, but if you can tell me that it is solveable and there is not a mistake, then that is good.

Using surds, find the values of a and b if $\displaystyle \frac{\sqrt{3}+a}{\sqrt{3}+b}=\sqrt{3}-1$