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?

NEAT can assume the values 9027 and 9741.

NATE ATEN ANTE NEAT
9270 2709 2970 9027
9417 4179 4917 9741

Posted by Dej Mar on 2009-09-26 14:04:17