perplexus.info :: Numbers : Without you

Without you (Posted on 2014-04-30)

Given:
1. N₁=*u*
2. N₂ =*u*
3. N₁ not equal to N₂
4. N₁ x N₂=u***u*
5. The letter u represents a certain digit.
6. All other digits are replaced by an asterisk (*).
7. No u in the partial products.
8. "x" in statement 4 is a multiplication sign.

Please restore the original numbers N₁ and N₂.

Bonus question : Eliminating the 7th condition, do we get additional solutions?

See The Solution Submitted by Ady TZIDON

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re: computer solution

Comment 2 of 2 |

(In reply to computer solution by Charlie)

You have provided a true list of valid solutions, whereas the digit 7

does not appear in any of the partial producs.

However the one you have chosen does not qualify, since it does not satisfy condition 3.

Needles to say that the "official" solution provides a pair of numbers fitting all the requirements, mentioning that other possible couples exist.

Posted by Ady TZIDON on 2014-05-07 09:37:42

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