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Yes.

If a number is divisible by 9 it is also divisible by 3 so "is divisible by 3 and 9" can just say "is divisible by 9".

The only numbers that this can be applied to is 9, 90, 900, 9000 and so on.

The difference of digits can only be 9 if one of them is 9 and all of the rest of the digits are 0, since there is no digit greater than 9 (in base 10) and 9 minus anything greater than 0 is less than 9.

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Q: Is a number divisible by 9 if the difference of the digits is divisible by 3 and 9?
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