Question

If the two spheres are then connected by a conducting wire what will be the final charges on the spheres?

Answer 1

Sounds like this is part of another question.
If the charges on both are of the same sign but different charge magnitude then each will become
(a + b)/2

If the charges are different in sign and of different magnitudes then 
| a - b| / 2 is the charge on both.

If the charges are = but of different sign, then each sphere will have a magnitude of 0.