
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 $a$ and $b$ represent $A$'s and $B$'s money in dollars, respectively, solve the system of equations:

$$4a+b=68,\quad2a-b<16,\quad a+b>22.$$

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