
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
Ann and Barbara were discussing their ages. Barbara is as old now as Ann was when Barbara was as old as Ann had been when Barbara was half as old as Ann is now. If the sum of their present ages is $50$ years, then what is Ann's age?

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