It's interesting to read the following two articles together:
Higher Cancer Rates in Men Likely Due to Biological Differences
X Chromosome-Linked Enzyme May Explain Women’s Higher Alzheimer’s Incidence
While men and women have different health-related characteristics, they don't account for the large differences in cancer and Alzheimer incidence rates. This implies that regardless future progress in medical sciences (barring significant gene editing), there will always be more women than men in a high-age group, and at the same time, more of these women suffering from Alzheimer than men unless this disease is completely eliminated.
