
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
The ages of family members. A married couple had three children: John, Ben, and Mary. The age difference between the parents was the same as between John and Ben, and between Ben and Mary. The product of the ages of John and Ben equaled the age of the father, and the product of the ages of Ben and Mary equaled the age of the mother. The total age of all family members was 90 years. How old was each of them?

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