My late mother had both. She passed away due to cancer before the Alzheimers could do its worst however. They did an operation but couldn’t get it all and it spread. I looked after her with Alzheimers for about 6 years before that.
I really lucked out with the cancer. Because I’m a type II diabetic I have a regular health screening about once every three months. My doctor found that I had an abnormally low hemoglobin level, thereby setting off a stool sample followed by a colonoscopy that discovered the stage II cancer. Shortly thereafter I had surgery that got everything and I am now clear of it, nine years later.