Bunuel wrote:
Is |x - y| > |x + y|?
(1) x^2 - y^2 = 9
(2) x - y = 2
\(|x-y|>|x+y|\), square both sides to get
\(x^2+y^2-2xy>x^2+y^2+2xy => 4xy<0\)
so the question Is \(xy<0\). Hence we need to know the value of \(x\) & \(y\)
Statement 1: implies \((x-y)(x+y)=9\). two variable one equation not possible to solve.
InsufficientStatement 2: \(x-y=2\). again two variable one equation not possible to solve.
InsufficientCombining 1 & 2 we get \(2(x+y)=9\) so \(x+y=4.5\) and \(x-y=2\). Two variables and two equations we can calculate the value of \(x\) & \(y\).
SufficientOption
C
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62% (01:51) correct 
