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Neat Aten (Posted on 2009-09-26) Difficulty: 3 of 5
Substitute each of the capital letters in bold by a different base ten digit from 0 to 9 to satisfy this set of alphametic relationships. None of the numbers can contain any leading zero.

  • NATE is divisible by 3, and:
  • ATEN is divisible by 7, and:
  • ANTE is divisible by 11, and:
  • NEAT is divisible by 17.
What are the possible value(s) that NEAT can assume?

See The Solution Submitted by K Sengupta    
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without computer | Comment 2 of 3 |

40 minutes without computer:

9027 and 9741

Without  non-distinct digits constraint: 6936 is ok as well

  Posted by Ady TZIDON on 2009-09-27 05:22:34
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