
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 families with a total of six children, aged 2, 3, 4, 5, 6, and 8 years, gathered in a meadow. The sum of the ages of the children from one family was the same as the sum of the ages of the children from the other family.

What could be the ages of the children from each family? Determine all possibilities.

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