If [Formula: see text] is an alternative algebra containing a nontrivial symmetric idempotent, [Formula: see text] is a multiplicative ∗-reverse derivation and [Formula: see text] is a multiplicative Jordan ∗-reverse derivation, then under a mild condition on [Formula: see text] we prove that [Formula: see text] and [Formula: see text] are additives. Furthermore if [Formula: see text] is a Jordan ∗-reverse derivation, then under a mild condition on [Formula: see text] and [Formula: see text] we prove that [Formula: see text] is the form [Formula: see text], where [Formula: see text] is a ∗-reverse derivation of [Formula: see text] and [Formula: see text] is a singular Jordan ∗-reverse derivation of [Formula: see text]. Moreover, [Formula: see text] and [Formula: see text] are uniquely determined.