
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
In a certain community, the ratio of the number of women to men is $3$ to $2$. If the average (arithmetic mean) age of the women is $40$ years and the average age of the men is $36$ years, and the community also includes children whose total amount to a third of the men and the average age of the children is $10$ years, what is the average age of the entire community?
A) 32
B) 33
C) 34
D) 35
E) 36

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