
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
The father is charged a flat fee of $16 for his meal, and children are charged $0.8 per year of their current age. Given that the total bill comes to $43.2 for a family consisting of a father, his triplets, and a younger child, calculate the possible age of the youngest child.

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