
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 group at a pioneer camp, there are children aged 10, 11, 12, and 13 years old. There are 23 people in total, and together they are 253 years old. How many 12-year-olds are in the group if it is known that there are one and a half times more 12-year-olds than 13-year-olds?

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