
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
Thomas and Sierra and their son Tom all share the same birthday. Thomas is 2 years older than Sierra, and Tom is exactly 2 years old today. Today is the first of the 4 birthdays on which Sierra's age will be an integral multiple of Tom's age. What will be the sum of the two digits of Thomas's age the next time his age is an exact multiple of Tom's age?

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