
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 the ensemble "Sunshine," everyone plays either the violin or the double bass. The average age of those who play the violin is 22 years, and of those who play the double bass is 45 years. Igor switched from playing the double bass to playing the violin. As a result, the average age of those who play the violin increased by 1 year, and the average age of those who play the double bass also increased by 1 year. How many people are in the "Sunshine" ensemble? Answer: 23.

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