
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
Petya is the oldest child in the family. He has two sisters: Anya and Katya, and a brother Vasya. Petya calculated that Anya and Katya together are 19 years old, Anya and Vasya together are 14 years old. Determine Katya's age, given that the two youngest children together are 7 years old.

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