
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 magician thought of two natural numbers and told their sum to Sima, while Prow knew their product was 2280. Knowing that the product is 2280, Prow was able to guess the numbers only after Sima revealed that their sum is an odd two-digit number. What are the numbers the magician thought of?

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