
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
Brother and Sister. When a boy was asked how old he and his sister were, he replied:

- Three years ago, I was 7 times older than my sister
- Two years ago, I was 4 times older
- Last year, I was 3 times older
- This year, I am \(2 \frac{1}{2}\) times older

How old are the boy and his sister?

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