Hey edelauna,

Unfortunately, you can't go from x/y > 1 to x>y, because you don't know whether y is positive or negative (and thus you don't know whether or not the sign will flip).

Statement 1 tells you that x > y though, but it doesn't tell you their signs.

Statement 2 tells you x/y > 1, which means that either x<y (which would happen if x and y were both negative, for example x=-2, y=-1), or x>y (which would happen if x and y were both positive). We don't know which it is.

Together, though, we know it must be true that x>y and x/y > 1, and thus x and y are both positive.

Let me know if you have any other questions!

st(1) x=1/2+y Not Sufficient, since we don't know the signs of x and y, they could be both -ve OR +ve;
st(2) x/y>1, |x|>|y|; x and y can be both -ve OR +ve, hence Not Sufficient;

Combined st(1) x=1/2+y AND st(2) x/y>1
from st(1&2) if (1/2+y)/y>1 then (1/2y)>0 Hence 2y>0 AND y>0
from st(1) x=1/2 +y Hence with positive y ---> x=1/2 + y {positive value of y} We can answer Not only x and y are positive (required for this question) BUT also x>y -Hence Sufficient

answer C

Are x,y>0?
st(1) 2x-2y=1
st(2) x/y>1