  The celebrated Rogers-Ramanujan identities equate the number of integer
partitions of $n$ ($n\in\mathbb N_0$) with parts congruent to $\pm 1 \pmod{5}$
(respectively $\pm 2 \pmod{5}$) and the number of partitions of $n$ with
super-distinct parts (respectively super-distinct parts greater than $1$). In
this paper, we establish companion identities to the Rogers-Ramanujan
identities on the number of parts in all partitions of $n$ of the
aforementioned types, in the spirit of earlier work by Andrews and Beck on a
partition identity of Euler.
