
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
Let $a$ be the tens digit and b be the ones digit of Jack's current age, and let $b$ be the tens digit and $a$ be the ones digit of Bill's current age. In seven years, Jack will be $10a+b+7$ years old and Bill will be $10b+a+7$ years old.

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