
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
Given Al's age is 16 years more than the sum of Bob's and Carl's ages, and the square of Al's age is 1632 more than the square of the sum of Bob's and Carl's ages, find the sum of Bob's and Carl's ages.

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