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Suppose the numbers are X and Y

then X + Y = 666

and X - Y = 999

Add the two equations to give: 2X = 1665 and so X = 833

Then using the first equation, Y = 666 - X = -167

Slight Adjustment:-

The numbers are 832.5 and -166.5 because:-

Addition: 832.5+(-166.5) = 666

Subtraction: 832.5-(-166.5) = 999

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Q: What two numbers have a sum of 666 yet have a difference of 999 showing work?
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