
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 son Liam all share the same birthday. Joey is 3 years older than Chloe, and Liam is exactly 2 years old today. Today marks the first out of the 7 birthdays on which Chloe's age will be twice the square of Liam's age. What will be the sum of the two digits of Joey's age the next time his age is twice Liam's age?
A) 8
B) 9
C) 10
D) 11
E) 12

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