My math professor used to say there are two kinds of problems: easy ones, and ones you don't understand yet.
Poverty also not a problem, just a definition (bottom 10-20% producers).
Climate also not a problem. Just the reality of humans paper clipping finite resources. algae did the same thing when it took co2 from 99% of atmosphere down to less than 1%. Now it’s the algae left arm wrestling the human left.
Not being facetious. Saying we know that people are hungry is like saying my computer doesn't do the thing I want it to do. The difficult part is (in both cases) solving the problem. And that INCLUDES the pesky "why can't society just agree to do the good thing" part.