man of affairs vs adult male

man of affairs and adult male both are nouns.

Word	Noun	Adjective	Verb	Adverb
man of affairs	Yes	No	No	No
adult male	Yes	No	No	No

As nouns, adult male is a hypernym of man of affairs; that is, adult male is a word with a broader meaning than man of affairs:

man of affairs: a person engaged in commercial or industrial business (especially an owner or executive)
adult male: an adult person who is male (as opposed to a woman)

Other hypernyms of man of affairs include bourgeois, businessperson, man.

man of affairs (noun)	adult male (noun)
a person engaged in commercial or industrial business (especially an owner or executive)	an adult person who is male (as opposed to a woman)