
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
Billy's age is three times Joe's age, and Joe's age is half of Ann's age. The sum of the ages of Billy, Joe, and Ann is 90 years. How old is Billy?

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