
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
My neighbor's current age is a perfect square. The product of the digits of his age equals his wife's age. Their daughter's age is the sum of the digits in the father's age, and their son's age is the sum of the digits in the mother's age. How old is each family member?

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