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St 1: Nothing about T, insufficient
St 2: if set S starts with x and set T with y, then:
5x+10 = 7y+21, this equation is satisified with x = -2, 5, 12 etc. This gives a yes and no answer, insufficient.

St1+st2 combined pegs x at -2 and the median of both sets at 0.

IMO If sum of a set with 5 consec numbers and 7 consec numbers are same then the sum could only be 0, and the only possibility is a 0 in the middle flanked by positives and negatives... _________________

Ok, Here is a counter example for why B is not sufficient:

S = {5,6,7,8,9}
T = (2,3,4,5,6,7,8}

Another way to look at the second statement is that you have 2 variables -- the starting vlaues for S & T, and multiple value pairs satisfy this equation with equal and different medians.