It's essentially an intentionally ambiguous equation, but since I'm doing a "maths pretending to be engineering" degree, I'll offer my thoughts.
First of all, I hate BODMAS (or PEMDAS to please the silly Americans
) because it implies that ÷ and x have different precedence (dividing really means multiplying by the number's reciprocal). The correct way to read this phrase literally is 48÷2x(9+3). Read operations left to right and you get the answer 288.
The problem comes when people attatch implied precedence to a number immediately followed by a bracket, so sometimes it is interpreted as 48÷(2x(9+3)) because of this.
But this is all rather silly because no mathematician in their right mind would write it out like that because of the misinterpretation. Like people have already pointed out, the only purpose of this question is to cause an argument.