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 Newsless Alphametics (Posted on 2009-04-15)
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.

 No Solution Yet Submitted by K Sengupta No Rating

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 all's well that ends well | Comment 1 of 5

The lowest solution would be WELL = 2899 for:

x=12 (x**4=20736)

y=13 (y**4=28561)

z=14 (z**4=38416)

y**4 - x**4 = 7825 = NEWS

z**4 - y**4 = 9855 = LESS

WELL = 2899

I have tested on x,y,z less than 100.  I will expand the code to see if there are higher values.

 Posted by ed bottemiller on 2009-04-15 12:43:20

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