
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
Find three numbers where the first is greater than the second by the same ratio that the second is greater than the third. If the sum of the first number minus the sum of the other two equals 2, and if the half difference between the second and the third is added to the first, the result is 9.

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