You need to assume that the 230V AC supply has the capacity to supply large amounts of current and remain at 230V AC, in other words, the voltage source has a very low resistance(for AC you normally talk about impedance, as opposed to DC resistance).
The motors are placed in parallel across the 230V AC supply, so each is supplied with 230V AC, and provided the voltage source can supply the current demanded by both motors, then they will both run. Motors are rated in watts, knowing the voltage it is then possible to determine the current it will draw. Two motors in parallel on 230V AC, with a rating of 1000 watts each, would each draw 1000/230=4.4 Amps.
So you need to understand about the parallel operation of circuits for a start, and secondly, that a voltage source needs to have a very low resistance and sufficient current capacity to supply all of the devices placed in parallel across it.
Hope that's of some help,
cheers,
Richard