
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
Three years ago, Mike was four times as old as his brother Dan. Five years before that, Mike was five times as old as Dan. In how many years will the ratio of their ages be $3$ : $2$?
A) 85
B) 97
C) 104
D) 115

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