
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
Given that the ages of A, B, and C are all positive integers, A's age is twice that of B, B is 7 years younger than C, and the sum of their ages is a prime number less than 70, with the sum of the digits of this prime number being 13. Find the ages of A, B, and C.

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