Yes, it is true. The thing is that the older anyone gets, the more chronic diseases and health conditions a person accumulates; besides, years of consumption of unhealthy food, smoking, drinking alcohol, using medications, and so on elevate the number of changes in the DNA and lowers the immunity protection. These factors contribute to the inability of the body to fight cancer cells effectively which is why around 70% of all newly diagnosed cancers are found in individuals older than 60.
However, the age at which people are getting cancer every year becomes younger so it is highly encouraged to lead a healthy lifestyle and do regular checkups from an early age.