
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
The sum of three different numbers is 80. The largest number is 9 more than the middle number, and the middle number is 4 more than the smallest number. Moreover, the product of the two smaller numbers is 525. What is the value of the largest number?

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