 All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars  perplexus dot info  Fortune From Four (Posted on 2009-11-12) 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 No Rating Comments: ( Back to comment list | You must be logged in to post comments.) 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 Please log in:

 Search: Search body:
Forums (1)