
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
One hundred twenty students at Century High School participated in the AHSME, and their average score was 110. The number of non-seniors taking the AHSME was $40\%$ more than the number of seniors, and the mean score of the seniors was $60\%$ higher than that of the non-seniors. Find the mean score of the seniors.

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