
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
Given a group composed of doctors and lawyers has an average (arithmetic mean) age of 40 years, the average age of the doctors is 35 years, and the average age of the lawyers is 50 years, calculate the ratio of the number of doctors to the number of lawyers.

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