
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
At the Lakeside Fitness Center, a survey was conducted among the club members. The average age of the female members was 35 years old, the average age of the male members was 30 years old, and the average age of the child members was 10 years old. If the average age of the entire membership is 25 years old, what is the ratio of the female to male to child members? Express your answer as a ratio of integers.

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