
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
Each of \( A \), \( B \), \( C \), and \( D \) is a positive two-digit integer. These integers satisfy each of the equations

\[
\begin{aligned}
B &= 3C \\
D &= 2B - C \\
A &= B + D
\end{aligned}
\]

What is the largest possible value of \( A + B + C + D \)?

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