
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 \( n \) be a two-digit number such that \( n \) is \((k+1)\) times the sum of its digits. What would be the number formed by interchanging the digits, expressed as a product of the sum of the digits by a constant \( x \)?
**A)** \( 9-k \)
**B)** \( 10-k \)
**C)** \( 11-k \)
**D)** \( k+1 \)
**E)** \( k-1 \)

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