Young people, even children, certainly get cancer, but an individual's odds of getting cancer go up the longer they live. The article even states:

    "The global cancer burden is increasing and quite markedly, due predominately to the ageing of the populations and population growth."

In other words, there are more people, and they're living longer. Therefore, more people are getting cancer. You can try to look at this as good news. We've (mostly) stamped out diseases like polio, leprosy, and tuberculosis. Now we have to worry about cancer, and unfortunately that's not an easy one to tackle (not that the other ones were either though).