Is there enough information?
A seven digit number ("the original number") has its digits scrambled to form a smaller number ("the rearrangement"). There are no 0's in the original number.
The rearrangement is subtracted from the original number, leaving a third seven-digit number with no 0's ("the final number.") Here is the final number with a digit missing:
Of the digits from 1 through 9, which two are not in the final number?
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1 solution
Since the digital root of the rearrangement is the same as the digital root of the original, since the same seven digits were used to form both numbers, the final number must have a digital root of 9.
3 + 4 + 2 + 9 + 7 + 5 has a digital root of 3. So the number in the blank must be 6.
So the seven digits used in the final number are 3, 4, 6, 2, 9, 7 and 5. The missing digits are 1 and 8.