Sure, I think that if someone had a gun to your head and asked you to evaluate this question to the correct answer or get shot in the head, your chances are better with 288. The flaw isn't with mathematics though, it's inherent in the question. I was explaining this to Ipquarx, so I'll just summarize. If someone asks you, "How do I do that?" the question is inherently ambiguous. You don't know what "that" is. You might be able to guess what they're talking about and get it right, but in the end it's a guess because the question is ambiguous. 48/2(9+3) is also an ambiguous question. You don't know whether they mean 48/(2(9+3)) or (48/2)(9+3). Again, you might be able to guess which they're talking about and get it right, but in the end it's a guess because the question is ambiguous.
The correct response to someone asking "What is 48/2(9+3)" in text is "Do you mean (48/2)(9+3) or 48/(2(9+3))?"