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Magical Magician (Posted on 2013-02-23) Difficulty: 2 of 5
A magician asked a spectator to think of a three-digit number ABC and then to tell him the sum of numbers ACB, BAC, BCA, CAB, and CBA. He claims that when he knows this sum he can determine the original number. Is that so?

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.5000 (2 votes)

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Simplest answer | Comment 1 of 6
Since we are adding every permutation of the digits there is no way the magician can know which was the original number even if it were possible to determine the values of A, B and C.

  Posted by Jer on 2013-02-23 13:51:54
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