" A determiner is a class of noun modifier. So is an adjective. By the way, the sentence as written has a humorous antecedent problem.
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Cup cake'I have to feed the next-door neighbours' fish while they are away on holidays.'Is this right?Yes, if you mean more than one person.
AlpheccaStarsA determiner is a class of noun modifier.I'm not so sure about that. According to Huddleston (Introduction to the Grammar of English), a determiner is a separate kind of thing; it's not subsumed under the category of modifier:
Cup cake'I have to feed the next-door neighbours' fish while they are away on holidays.'Is this right?I forgot to mention ... In British English, "away on holidays" is wrong. It should be "away on holiday" or "away on their holidays". However since neither AS nor CJ has mentioned this, I imagine "away on holidays" is OK in AmE.
GPYI imagine "away on holidays" is OK in AmE.Who knows? My brain automatically converts all that "holiday" talk to American "vacation" without even thinking about it. I'd say "on vacation" and I don't know what the British would say, so I remain silent on the subject. I depend on you to correct it if it's wrong.