
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 two-digit number \( ab \) be \( 10a + b \), where \( a \) and \( b \) are digits such that \( 1 \leq a \leq 9 \) and \( 0 \leq b \leq 9 \). The difference between this two-digit number and the number formed by reversing its digits (denoted \( ba \) or \( 10b + a \)) is 7 times the sum of its digits \( a + b \). What is the sum of \( ab \) and \( ba \)?
A) 44
B) 55
C) 77
D) 99
E) 110

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