
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
Someone tells their companion: I am seven times as old as you were when your brother was half as old as you are now. All three of our ages are whole numbers, and their sum is 74 years.

How old is each of them?

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