
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
Lectures were held in two rooms of an educational center. The average age of the eight people present in the first room was 20 years, and the average age of the twelve people in the second room was 45 years. During the lecture, one participant left, and the average age of all the people in both rooms increased by one year. How old was the participant who left?

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