x, y and z (in this order), with x < y < z, are three positive integers in arithmetic sequence that satisfy this set of alphametic equations.

y⁴ - x⁴ = NEWS, and

z⁴ - y⁴ = LESS.

where, each of the capital letters in bold represents a different decimal (base 10) digit from 0 to 9.

Determine all possible value(s) of the triplet (x, y, z).

What are the possible four digit number(s) that represent WELL?

Note: Neither L nor N is zero.

NEWS = 13⁴ - 12⁴ = y⁴ - x⁴
LESS = 14⁴ - 13⁴= z⁴ - y⁴

The triplet, x, y, and z, is (12, 13, 14).

WELL = 2899

Posted by Dej Mar on 2009-04-15 17:56:08