
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 sports club consisting of 50 members, the average age is 20 years. The club has 30 men, 15 women, and 5 coaches. If the average age of the men is 19 years and the average age of the women is 21 years, what is the average age of the coaches?

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