
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
In a dance workshop, there are 50 participants with an average age of 20 years. The group consists of 30 women, 10 men, and 10 children. If the average age of the women is 22 years and the average age of the men is 25 years, calculate the average age of the children.

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