SD1 examination winter 2020/2

Q:

Consider the following code snippet:

byte a, b;
...
byte average = (a + b) / 2;

The compiler complains “Required type: byte Provided: int” with respect to the second line. Why is that although only byte values are being involved?

Propose a solution solving the issue at the same preserving the byte result type. Is your solution susceptible to overflow errors?