
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 is 2 years older than Chloe, and Max is exactly 2 years old today. Today marks the first of 6 birthdays wherein Joey's age will be an integral multiple of Max's age. Find the sum of the digits of Chloe's age the next time her age is an integral multiple of Max's age.

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