Die Älteren erzählten gerne von ihrer Kinder und Jugend.
The above sentence came from this language learning site.
We know that von is a preposition that should be used with the dative case.
The dative article/pronoun for plural Kinder should be den or ihren; while that for singluar feminine Jugend is der.
So - correct me if I am wrong - the grammatically sound sentence should be rendered as:
Die Älteren erzählten gerne von ihren Kinder und ihrer Jugend.
Meaning, old people love talk about their children and their youth.
Since this is a suggested answer for a Lückenstest that's been circulating around the web, my preferred interpretation would rather be:
Die Älteren erzählten gerne von ihrer Kindheit und Jugendzeit.
Both Kindheit and Jugendzeit are feminine singular, so ihrer would agree with both objects.
The Question:
Is it a necessity to repeat the article or pronoun when verbs with prepositions that dictate case contain multiple objects with different gender and/or number?