
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
Xiao Ming and Xiao Hua are both in the same class, which has between 20 and 30 students, and all students have different birth dates. Xiao Ming says: "The number of classmates older than me is twice the number of classmates younger than me." Xiao Hua says: "The number of classmates older than me is three times the number of classmates younger than me." How many students are in this class?

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