Soon, medicine will reach a whole new level that will increase life expectancy to 150 years. 
I think this will actually happen in our lifespan. IF you see the pace of all developments. I'm pretty sure a Cancer treatment is at most some years away!
I actually know people who truly believe that the aging problem will be fixed in our lifetime and that there is a big chance that we can live a lot longer without dying from natural disease. I dont know what to think of that
Well, the question is what you understand under the "aging problem"? If you mean aging in general, this wont be stopped unless you find a way to stop time. But people are living longer than they did 50 years ago and this trend is ongoing constantly. However for me the question is if life is only prolonged through the help of medicine, will it still be worth living for the people that are undergoing these medical prolonging of life?