
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 ages 5, 5, 10, and 15, and three boys aged 8, 12, and 16. What is the mean (average) age of the children in the Euler family?

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