This is an interesting algebra problem from BL’s Weekly Math Games, which is behind a subscription wall.
(a3 – b3)/(a – b)3 = 73/3,
what is a – b?”
In fact, it is possible to solve for a and b individually as well.
See a Tricky Ratio Puzzle for the solution.
(Update 11/6/2024) BL’s Solution
Rummaging around I found the beginnings of BL’s solution, again because I am not a subscriber. I added the remaining steps as I imagined them. His solution is simpler.
See BL’s Solution