
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 40 sixth-graders is 12. The average age of 50 of their parents is 35. Additionally, there are 10 teachers with an average age of 45. What is the average age of all these sixth-graders, their parents, and their teachers?

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