# Logical Numbers

Logic Level 3

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

• $$A+B+C$$ > $$D+E+F$$ > $$G+H+I$$

• $$E$$ is a prime factor of $$G$$

• $$F$$ > $$A$$

• $$B+G= H$$

• $$I$$ is not $$1$$

Which letter represents which number?

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

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