
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
How old are the two sons? A father was asked about the ages of his two sons. He answered that the doubled age of the elder son exceeds the sum of the ages of both sons by 18 years, and the age of the younger is 6 years less than the difference between their ages. How old is each son?

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