
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 detectives met. Here is their dialogue:

- Do you have two sons?
- Yes, they are young and do not go to school.
- By the way, the product of their ages equals the number of pigeons around us.
- Those data are not sufficient.
- And I named the elder one after you.
- Now I know how old they are.

How old are the sons?

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