According to what I can find, based on a circuit diagram, in a short shunt machine:
EMFgen = EMFload + ILRse
EMFgen = generator emf (what you want to find)
EMFload = voltage delivered to load (supply voltage)
IL = load current
Rse = resistance of series winding
From what is given, we then have:
EMFgen = 200 V + (100 A)(0.03 Ω)
because, from your description, it sounds like the load receives 200 V and 100 A of current. So I think this will compute EMFgen for the short shunt machine.
I am not sure what is meant by connecting the same machine to the long shunt machine. Does this mean the two generators are in series? If so, I am not sure where the output of one goes into the other. On top of which, we have no apparent information about the long shunt machine.
Is it possible the question means "what would be the EMF generated in a long shunt generator configuration where the output load and all of the resistances are the same?
I would need more information to help you furhter, but I hope this can get you started!