
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
Two two-digit numbers are written on the board. Andrei multiplied them, resulting in a four-digit number with the first digit being 2. Pasha added them and got a three-digit number. If the first digit of Andrei's number is removed, Pasha's number is obtained. What were the numbers written on the board?

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