Hello I tried various things but ain't getting where to begin, if anybody would let me know how to solve this it will be of great help

P X B * W Y A

         O A Z O
     O N X W+
 O X N P  + +

  • 1
    $\begingroup$ Which of PXB and WYA is on top in the usual arrangement of a pencil-and-paper multiplication? Also, you should have six digits in the product, not five. $\endgroup$ Jul 28 '13 at 7:45
  • $\begingroup$ Googling for the letters in this problem online suggests that the product should be "O A N Z N O", not "O A N Z O". $\endgroup$ Jul 28 '13 at 7:50
  • $\begingroup$ Are different letters supposed to represent different numbers? $\endgroup$ Jul 28 '13 at 7:57
  • $\begingroup$ @Mark: That’s the convention, yes. $\endgroup$ Jul 28 '13 at 8:07
  • $\begingroup$ sorry ya my bad... ya 1 letter is 1 digit and every letter has a unique number and also the letter 'O' is not zero(0) $\endgroup$ Jul 28 '13 at 8:19

By brute-force enumeration of all permutations of ten digits, I have found two solutions which match the PXB * WYA = OANZNO constraint:

418 * 709 = 296363

295 * 164 = 048380

However, for none of these the intermediate expressions are fulfilled.

I guess, the task is to prove a contradiction rather than to find a solution.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.