
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 identical two-digit numbers were written on the board. One of them had 100 added to the left, and the other had 1 added to the right, resulting in the first number becoming 37 times larger than the second. What were the numbers written on the board?

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