
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
The average (arithmetic mean) age of a group consisting of doctors and lawyers is 47. If the doctors average 45 years old and the lawyers 55 years old, 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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