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If |x−y|=y, what is the value of x?

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Source: — Data Sufficiency |
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by deloitte247 » Sat Jul 27, 2019 1:15 pm

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C

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$$\left|x-y\right|=y$$
$$x=y+y=2y;\ x\ and\ y\ are\ positive$$
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.

$$Answer\ is\ optionC$$
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