perplexus.info :: General : From proverbs to alphametics

From proverbs to alphametics (Posted on 2013-02-15)

The proverbs:

The early bird catches the W1.
Where the wolf gets one W2 - he looks for another.
The best horse doesn't always win the W3 .
Better wed over the mixen than over the W4.

The alphametics:

W3+W2=W1
W3-W2=W4

The phrase "The bear came home to the wolf" uses 12 distinct letters, - three of them were not used in the alphametics.

Which three?
What digit was not used in the equations?

No Solution Yet Submitted by Ady TZIDON

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Proverbs and alphametics don't mix???

| Comment 1 of 8

Uh-oh. Somebody made a mistake. Was it me?

Here's as far as I got:

W1 = WORM

W2 = LAMB

W3 = RACE

W4 = MOOR

The unused letters are T, H and F.

But the alphametics don't work for me. Maybe I got a word wrong?

I prefer to work with W2+W4=W3. i.e,

  LAMB
+ MOOR
= RACE
Then O = 0, and C = M + 1, and R = L + M

Then

  RACE
+ LAMB
= W0RM, So A = 5 and  R + L + 1 = W

The only values that now work for

LMCRW are 31248 (given that 0 and 5 are already accounted for)

Leaving

  351B
+ 1004
= 452E
+ 351B
= 8041

But B and E must be 6 or 7 or 9, and that doesn't work for either sum.

Is this a flawed puzzle, or just a flawed solver?

Edited on February 16, 2013, 8:34 pm

Posted by Steve Herman on 2013-02-16 20:32:27

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