Is both a noun

The Word 'both' is a pronoun, an adjective, and a conjunction.

The pronoun 'both' is an indefinite pronoun, a Word that takes the place of a noun (nouns) for two people or things.

The conjunction 'both' is used before two Words or phrases connected with and to stress that each is included.

Examples:

My children are away. Both attend the university. (indefinite pronoun)

Both children get good grades. (adjective)

Both Jack and Jill attend the same school. (conjunction)