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Newsless Alphametics (Posted on 2009-04-15) Difficulty: 2 of 5
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    
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Solution Solution Comment 5 of 5 |

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
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