
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 that the average age of a group consisting of doctors and lawyers is 45, the average age of doctors is 40, and the average age of lawyers is 55, determine 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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