This is the 1714th most frequent German word.
erwachsenen
"Erwachsenen" means "adults" in English.
In this sentence, 'erwachsenen' is used as an adjective describing the noun 'Personen' (persons), indicating that they are adults.
Die erwachsenen Personen waren schon gegangen.
The adult persons had already left.
Here, 'Erwachsener' is a noun referring to an individual adult, derived from the adjective 'erwachsen' with added gender-specific conjugation.
Ein Erwachsener sollte verantwortungsbewusst handeln.
An adult should act responsibly.
The phrase 'für Erwachsenen' uses 'Erwachsenen' as a substantive adjective in the dative plural form, indicating that the games are intended for adult individuals.