
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
In Alice's family, Tony had as many brothers as he had sisters. Alice had twice as many brothers as she had sisters. How many boys and girls were in their family?

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