
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 Euler family has four girls aged 12, twin boys each aged 9, and two girls aged 15 and 17. What is the mean (average) of the ages of the children?

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