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If |x−y|=y, what is the value of x?
(1) xy>0
(2) y=6
OA C
Source: Veritas Prep
(1) xy>0
(2) y=6
OA C
Source: Veritas Prep
$$\left|x-y\right|=y$$
$$x=y+y=2y;\ x\ and\ y\ are\ positive$$
Statement 1
$$xy>0$$
$$x=2y$$
$$x\ =\ 2\cdot6=12$$
if x = 0
$$0=2\cdot6=12$$
$$x\ can\ either\ be\ 0\ or\ 12$$
Combining both statements together
products of x and y is greater than 0, y = 6
$$x=2y=2\cdot6=12$$
This means both statement together are SUFFICIENT.
$$Answer\ is\ optionC$$
