
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
When Grandpa's age is twice Dad's age, Xiaoming is 1 year old. When Dad's age is eight times Xiaoming's age, Grandpa is 61 years old. How many years older is Grandpa than Xiaoming? When Grandpa's age is twenty times Xiaoming's age, how old is Dad?

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