
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 $C$ and $D$ be consecutive positive integers with $C < D$, and $C$, $D$, and $C+D$ represent number bases in the equation $231_C + 56_D = 105_{C+D}$. Determine the value of $C+D$.

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