
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
\( A \) is twice as old as \( B \) was when \( A \) was as old as \( B \) is now. When \( B \) is as old as \( A \) is now, the sum of their ages will be 130 years. How old are \( A \) and \( B \) now?

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