
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
Peter was born in the 19th century, and his brother Paul was born in the 20th century. One day, the brothers met to celebrate their shared birthday. Peter said, "My age is equal to the sum of the digits of my birth year." - "So is mine," replied Paul. By how many years is Paul younger than Peter?

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