
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, Tom was twice as old as his sister Sara, and five years before that, Tom was three times as old as Sara. 

Let $t$ and $s$ represent Tom's current age and Sara's current age, respectively. Determine the number of years until the ratio of their ages will be 3:2.

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