
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
I wrote a two-digit natural number on a card. The sum of its digits is divisible by three. If I subtract 27 from the written number, I get another two-digit natural number formed by the same digits in reverse order. What numbers could I have written on the card?

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