
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
Xiaoming writes 6 numbers on three cards such that each side of each card has one number, and the sum of the numbers on each card is equal. The numbers on the front sides are $28, 40, 49$. The numbers on the back sides can only be divisible by 1 and themselves. Find the average of the three numbers on the back sides.

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