tell and deal puzzle

K Sengupta

p, q and r are three positive integers satisfying p< q< r, such that q is the arithmetic mean of p and r.

Determine all possible triplet(s) (p, q, r) that satisfy both the cryptarithmetic equations, where each of the capital letters denotes a different decimal digit from 0 to 9 and, none of T and D can be zero.

r⁴ – q⁴ = TELL, and:
q⁴ – p⁴ = DEAL.

davee123

I'm not sure if it qualifies as brute force or not-- there were only 19 different things I had to try:



DaveE