
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 Hardey Fitness Center, they added a children's sports program. The average age of female members was 35 years old, that of male members was 30 years old, and the new children's program had an average age of 10 years. The overall average age of the membership including the children was 25 years. What is the ratio of child members to the total number of adult members (males and females combined)? Express your answer as a simplified fraction.

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