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Fortune From Four (Posted on 2009-11-12) Difficulty: 3 of 5
Each of the capital letters in bold denotes a different base ten digit from 0 to 9 to satisfy each of the following alphametic relationships. None of the numbers can contain any leading zero.

(i) ONE is a perfect square and:

(ii) Precisely one of TWO, THREE and FOUR is a perfect square, and:

(iii) Precisely one of TWO + 1, THREE + 1 and FOUR + 1 is a perfect square, and:

(iv) Precisely one of TWO + 2, THREE + 2 and FOUR + 2 is a perfect square.

Determine the number that is represented by FORTUNE.

See The Solution Submitted by K Sengupta    
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Solution Solution | Comment 2 of 4 |
ONE   :   784     =  282
TWO   :   167 + 2 =  132
THREE : 19044 + 0 = 1382
FOUR  :  3720 + 1 =  612

0 1 2 3 4 5 6 7 8 9
R T U F E - W O N H

FORTUNE = 3701284

  Posted by Dej Mar on 2009-11-12 23:19:29
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