
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 sum of the ages of four people, A, B, C, and D, is 100 years. A is 32 years old, and the sum of the ages of A and B is three times the sum of the ages of the other two people. C is 3 years older than D. What is the sum of the age of the oldest person and the youngest person among these four people?

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