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Are you sure that answer is A? How do you prove that Statement 2 is insufficient?
My answer as follows:
2) 3x/y > 51x............x/y>17x
If y>0.... then x>17xy.....x-17xy>0....x(1-17y)>0
As y is positive... (1-17y) is negative........x must be negative in order to have x(1-17y)>0
x is NOT greater than 19
If y 51x x/y > 17x
In the resulting inequality, x can be positive only if y is also positive. There is ONLY ONE SOLUTION for x+y = 21 such that x>19 and x and y are both positive: x=20, y=1. If this solution does not satisfy x/y > 17x, then it is not possible that x>19. Plugging x=20 and y=1 into x/y > 17x, we get: 20/1 > 17*20 20 > 340. Doesn't work. Thus, it is not possible that x>19, implying that the answer to the question stem is NO. SUFFICIENT.
Thanks
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