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What is the product of X and Y

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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Wed Jan 17, 2018 10:33 pm
lheiannie07 wrote:What is the product of X and Y?

(1) 2X + 2Y = 46.
(2) (X + Y)^2 = (X - Y)^2 + 8

Which of the statements is sufficient?

OA B
We have to get the value of xy.

(1) 2X + 2Y = 46.

=> x + y = 23

Cannot find the unique value of xy as the values of x and y are not known.

(2) (X + Y)^2 = (X - Y)^2 + 8

=> x^2 + y^2 + 2xy = x^2 + y^2 - 2xy + 8

= 4xy = 8 => xy = 2. Sufficient.

The correct answer: B

Hope this helps!

-Jay
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