
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 age of a group consisting of engineers and designers is 45 years. If the average age of engineers is 40 and the average age of designers is 55 years old, find the ratio of the number of engineers to the number of designers.
A) 1:2  
B) 2:1  
C) 3:2  
D) 3:1  
E) 1:3

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