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 Neat Aten (Posted on 2009-09-26)
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 No Rating 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.

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 Subject Author Date with computer Charlie 2009-09-27 13:30:42 without computer Ady TZIDON 2009-09-27 05:22:34 Solution Dej Mar 2009-09-26 14:04:17

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