It's sort of a silly question. It's like asking how telephones can solve a problem. The blockchain is a network not unlike the web, the telephone network, and the highway network. Networks don't solve problems in themselves they enable new collaboration models and collaborators solve the problem. People keep getting hung up on implementation details (BTC is one implementation) and silly hype (the fall of Fed!) which is how these things go. Ignore that.
Go to the source code. This stuff is open-source and well documented. Once you start reading the code this stuff makes sense. Write your own blockchain. In fact it's not that hard and it'll make the basic concepts really sink in.
Comments
It's sort of a silly question. It's like asking how telephones can solve a problem. The blockchain is a network not unlike the web, the telephone network, and the highway network. Networks don't solve problems in themselves they enable new collaboration models and collaborators solve the problem. People keep getting hung up on implementation details (BTC is one implementation) and silly hype (the fall of Fed!) which is how these things go. Ignore that.
Go to the source code. This stuff is open-source and well documented. Once you start reading the code this stuff makes sense. Write your own blockchain. In fact it's not that hard and it'll make the basic concepts really sink in.