
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 years ago, Mike was twice as old as his brother Sam. Seven years before that, Mike was three times as old as Sam. How many years from now will the ratio of their ages be $3$ : $2$?
A) 6
B) 8
C) 9
D) 10
E) 12

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