**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.

y

^{4}- x

^{4}=

**NEWS**,

*and*

z

^{4}- y

^{4}=

**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.