proverb vs adage

proverb and adage both are nouns.

Word	Noun	Adjective	Verb	Adverb
proverb	Yes	No	No	No
adage	Yes	No	No	No

As nouns, proverb and adage are synonyms defined as:

proverb and adage: a condensed but memorable saying embodying some important fact of experience that is taken as true by many people

Other synonyms of proverb include byword, saw.

proverb (noun)	adage (noun)
a condensed but memorable saying embodying some important fact of experience that is taken as true by many people	a condensed but memorable saying embodying some important fact of experience that is taken as true by many people