
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 Galaxy Gym, a survey was conducted among its members. The average age of the female members was found to be 35 years old, while the average age of the male members was 45 years old. The average age of the entire membership was found to be 40 years old. Determine the ratio of the number of female to male members. Express your answer as a common fraction.

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