
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, lawyers, and engineers is 45. If the doctors average 40 years old and the lawyers 55 years old, and the average age of the engineers is 5 years younger than that of the lawyers, then the ratio of the number of doctors to the number of engineers is
**A)** $1:1$
**B)** $2:1$
**C)** $3:1$
**D)** $4:1$
**E)** $5:1$

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