In the following question, in (w,z), x>y since it is under the 45° line, with x and y < 6. Similarly, in (c,d), y>x with x and y < 6. So we can infer that d+w>c+z using the above equations. So Greg had marked the answer as A

My question is, if we choose numbers and say (w,z) is (5,3) and (c,d) is (3,5) (this satisfies the above equations), then d+w=c+z=8, so the answer should be D, right?

I have taken this question from the Quant concepts recorded classes, specifically the practice videos under coordinate geometry and graphing functions