perplexus.info :: Just Math : Z for Zero, X for siX

Z for Zero, X for siX (Posted on 2013-08-22)

I have replaced each of the 0 to 9 digits by one of the letters appearing in the English word for that letter.
Trying to decode the multiplication data below, please remember that while Z identifies 0 and X should clearly be replaced by 6,- a string like OOO might represent any of the 4^3 =64 combinations since four digits (0,1,2, and 4 ) contain the letter O in the corresponding word.

Bear in mind that any digit might be represented by distinct letters e.g. 5 might be F in one place and V in another.

Still, I KNOW my question is solvable and there is probably only one solution.
Should I err – please post all possible combinations complying with:

WIT *ORE ======= WWVN EEE OOOW ======= ENORIN

Clearly - no leading zeroes.

No Solution Yet Submitted by Ady TZIDON

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reply to Ady

Comment 4 of 4 |

(In reply to re: spoiler by Ady TZIDON)

Glad to.

1--Assigned W=2 by inspection.

2--I in WIT is 5,6,8,9. R in ORE is 0,3,4. R=0 makes EEE all zeros and R=4 gives 4 digits so R=3.

3--T in WIT is 2,3,8. With R=3, only T=3 makes R*WIT have an E in last position.

4--So WIT is 253,263,283,293 and O in ORE has to be 4 to make O*WIT 4 digits long. But 4*293=1172 doesn't fit OOOW, 3*283=849 doesn't fit EEE,and no possible E*263 gives WWVN=22VN. However 9*253=2277 does the trick and the rest is just checking.

Posted by xdog on 2013-08-26 00:39:13

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