
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
The arithmetic mean of two distinct positive integers $x$ and $y$ is a three-digit integer. The geometric mean of $x$ and $y$ is obtained by reversing the digits of the arithmetic mean. Additionally, either $x$ or $y$ is divisible by 5. What is $|x - y|$?
A) 24
B) 48
C) 54
D) 60
E) 70

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