
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

If the student had correctly multiplied the two numbers written on the board, the product would have been 4500. However, while transcribing the numbers from the board, the student mistakenly wrote the digit 3 instead of 5 as the last digit in one of the numbers and ended up with a product of 4380. What were the two numbers the student was supposed to multiply?

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