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Puzzles

Strange Arithmetic

The addition problem below looks wrong, but it's actually correct. The secret is that each alphabet letter actually stands for a digit. The letter O does not necessarily represent the number zero, but we will insist that the leading digit in a multi-digit number should not be zero. (So neither T, F, nor E can be zero.) Discover which letters represent which digits to make the addition correct.

Click to enlarge

There are actually four correct answers. You need only find one of them, but if you want an extra challenge, try to find them all!

Courtesy of Mark Nielsen

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Comments

terveloc	21:15:05, 17 Nov 07
Newbie Group:Members Points: 0 Posts: 5 Warn level: 0	My algorithm spits out four possible solutions. I have verified the first by hand, but let me know if there's a flaw in the others: T = 4 H = 6 R = 5 E = 1 F = 8 O = 2 U = 9 L = 0 V = 3 N = 7 T = 7 H = 4 R = 6 E = 1 F = 2 O = 0 U = 9 L = 5 V = 3 N = 8 T = 7 H = 8 R = 0 E = 1 F = 5 O = 3 U = 9 L = 6 V = 4 N = 2 T = 8 H = 4 R = 0 E = 1 F = 3 O = 5 U = 9 L = 7 V = 6 N = 2

Bennett M	21:00:33, 08 Oct 07
Newbie Group:Members Points: 0 Posts: 0 Warn level: 0	Man finally got one of them! I am not even going to attempt the other ones -- thanks for entertaining me for a few hours at work!!