Final answer:
The two non-narcotic alternatives to consider for an elderly patient reporting arthritic pain are acetaminophen and tramadol.
Step-by-step explanation:
The two non-narcotic alternatives to consider for an elderly patient reporting arthritic pain are acetaminophen and tramadol. Acetaminophen is a commonly used pain reliever that is effective for mild to moderate pain. Tramadol is a synthetic opioid-like medication that acts on the brain to relieve pain but has a lower risk of dependence and addiction compared to narcotic pain medications.