
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
Given the two-digit number $10a+b$ and its reverse $10b+a$, where $a$ and $b$ are the tens and units digits respectively, the difference between the two numbers is $10b+a - (10a+b) = 9b-9a = 7(a+b)$. Find the sum of the two-digit number and its reverse.

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