how would you differenciate knowledge from intellegence?

As per Merriam-Webster, knowledge is the fact or condition of knowing something with familiarity and is often gained through experience or association. In other words, it's what you already knew. Intelligence is the ability to learn or understand or deal with new or trying situations. In other words, it's the ability to successfully apply your knowledge.

Intelligence requires knowledge so they pretty much go hand in hand. Problem solving requires knowledge.

...knowledge (to me) would be to know (something) - Intelligence would be to think and reason about it (thus proving it to one's self) - borrowing from the excellent analogy above, someone can tell me 2+2=4, but unless I take two apples (or something) and add two more apples to them, I may not actually "know" that 2+2='s4. So I'd say they indeed go hand in hand..