Answer: You can die from either one.
Both conditions kill brain cells.
Step-by-step explanation:
Alzheimer is a disease which affects the brain. In this the memory and thinking skills of the person get slowly destroyed. This involves the damage of the brain cells. It develops typically in the age of 60s and more. This disease can be lethal.
A stroke is an attack of brain, in this the vital flow of blood and oxygen to the brain gets stopped. The brain cells die as a result of this. This can lead to death.