[Math] Find five consecutive odd integers such that their sum is $55$.

Question

So my professor asked us to do an Olympiad exercise which says that the sum of five consecutive odd integers is $55$, find those integers. But I've never seen such an exercise so it is quite new and if I learn how then I will be able to solve similar exercises.

I tried to think of it in terms of geometry but that didn't help me.

Answer 1

Avoiding explicit algebra computation, their average would be $11$ and they would have to surround that average symmetrically.