
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 Unity Community Club, a survey was conducted to find out the average age of its members. The average age of the female members was found to be 35 years old. The average age of the male members was 30 years old. Additionally, the average age of the child members was 10 years old. The overall average age of all the members combined was 25 years old. What is the ratio of female to male to child members? Express your answer as a common fraction in the form $\frac{f:m:c}$.

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