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What is the value of x^2 - y^2?

Expert replies
Source: — Data Sufficiency |

by GMATGuruNY » Sun Apr 01, 2018 11:04 am
Gmat_mission wrote:What is the value of x^2 - y^2?

(1) x + y = 16

(2) x - y = 0
Statement 1: x+y = 16
If x=8 and y=8, then x² - y² = 8² - 8² = 0.
If x=10 and y=6, then x² - y² = 10² - 6² = 64.
Since x² - y² can be different values, INSUFFICIENT.

Statement 2: x-y = 0, implying that x=y
Substituting x=y into x² - y², we get:
x² - y² = x² - x² = 0.
SUFFICIENT.

The correct answer is B.
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