
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
If two people, A and B, work together on a project, they can complete it in a certain number of days. If person A works alone to complete half of the project, it takes them 10 days less than it would take both A and B working together to complete the entire project. If person B works alone to complete half of the project, it takes them 15 days more than it would take both A and B working together to complete the entire project. How many days would it take for A and B to complete the entire project working together?

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