Logical Numbers

Logic Level 3

All digits 1 to 9 are used in place of the letters A through I such that

  • A+B+CA+B+C > D+E+FD+E+F > G+H+IG+H+I

  • EE is a prime factor of GG

  • FF > AA

  • B+G=HB+G= H

  • II is not 11

Which letter represents which number?

Concatenate the answer as the nine-digit integer ABCDEFGHI\overline{ABCDEFGHI}.

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