
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

Zé Roberto has five children: two are twins and the other three are triplets. Today, Zé's age is equal to the sum of the ages of his five children. In 15 years, the sum of the ages of the five children will be twice Zé's age at that time. Also, the sum of the ages of the twins will be equal to the sum of the ages of the triplets.

(a) What is Zé's current age?

(b) What is the current age of the triplets?

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