
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A three-digit number, with its hundreds digit, tens digit, and units digit being $a$, $b$, $c$ respectively. If the hundreds digit and units digit of this three-digit number are exchanged, a new three-digit number is obtained. <br/>$(Ⅰ)$ Calculate the difference between the new number and the original number; <br/>$(Ⅱ)$ Can this difference be divided by $99$? Explain the reason.

Present the answer in LaTex format: \boxed{Your answer}
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