And I wrote, " Az egyik nőn nadrág van, a másik pedig szoknyát visel." I don't think there is anything wrong with that and I don't see a reason in that sentence to repeat "Nön"
Someone please correct me if I am mistaken.
If you don't repeat nőn you'd use másikon. Otherwise it's like 'One of the ladies is wearing pants, the other one is skirt.' You need either to change másik to the right form or use nőn to make this work.
I already asked without an answer: when would you say"az egyik nő szoknyban van" and when is it" az egyik nőN szokny van" ? We were told both constructions but we get marked wrong when we use one instead of the other one.