
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
Joey, Chloe, and their daughter Zoe all have the same birthday. Joey is 2 years older than Chloe, and Zoe is exactly 1 year old today. Today is the first of the 8 birthdays on which Joey's age will be an integral multiple of Zoe’s age. What will be the sum of the two digits of Joey's age the next time his age is a multiple of Zoe's age?

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