
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
Pedrinho wrote two positive integers on a piece of paper and showed them to Joãozinho. After that, Pedrinho calculated twice the product of these two numbers. Joãozinho added 21 to twice the first number and then added the result to the second number. To their surprise, the result was the same. What are the possible numbers that Pedrinho wrote on the piece of paper?

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