Substitute each of the small letters by a different digit from 0 to 9 to satisfy this set of alphametic relationships. None of the numbers can contain any leading zero.
(elvis)*a + presley + 1935 + 1977 + p = ppppppp, and:
play is divisible by 17
(In reply to Play and 17
by Jim Keneipp)
The second clue (PLAY evenly divisible by 17) shortens the process if approaching by brute force (nine variables, nine loops): I tested possible values for P,L,A,Y before the other 5 loops, and also stopped when I found a first solution (since there should only be a unique answer) instead of checking for further solutions. Elvis was always age 17 (if that) to his followers.