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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?

  Submitted by K Sengupta    
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Solution: (Hide)
9027 and 9741 are the only values that NEAT can assume.

For an explanation, refer to the solution submitted by Charlie in this location.

It has been pointed out by Ady TZIDON that disregarding the different digits constraint, 6936 is also a valid value for NEAT.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionwith computerCharlie2009-09-27 13:30:42
without computerAdy TZIDON2009-09-27 05:22:34
SolutionSolutionDej Mar2009-09-26 14:04:17
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