
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
This year, the son and daughter are of such ages that the product of their ages is 7 times less than the age of their father. In three years, the product of their ages will equal the age of their father. Find the age of the father.

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