If X^2+Y^2=A+3, X Y=7 and (X+Y)^2=25, what is the value of A ?

GMAT Quantitative Reasoning Practice Test 4

Question : 34 of 100

Marks: +1, -0

X^2+Y^2=A+3, X Y=7

and

(X+Y)^2=25

, what is the value of

A

Solution:

A+3=X^2+Y^2=(X+Y)^2-2 X Y=25-7 × 2=11, A=8

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