
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 music festival, there are 50 participants consisting of 22 women, 18 men, and 10 children. The overall average age of the participants is 20 years. If the average age of the women is 24 and the average age of the men is 19, what is the average age of the children?

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