
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
Five people are arranged in order of age. The average age of the younger three is 18 years. The age difference between the older two is 5 years. Additionally, the average age of the older three is 26 years. The age difference between the younger two is 7 years, and the average age of the oldest and youngest is 22 years. The ages of the five people, in ascending order, are ____ years, ____ years, ____ years, ____ years, and ____ years.

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