
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 two natural numbers is 54, and the difference between their least common multiple (LCM) and greatest common divisor (GCD) is 114. What are these two natural numbers?

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