The Answer is Always

Algebra Level pending

If X + Y is seventeen and X - Y is eleven. What is XY?

Express your answer as the product of X and Y

69 12 171 42

Christian Zedrick Jumawan by Christian Zedrick Jumawan , 35

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1 solution

Sam Bealing
Apr 2, 2016

X Y = ( X + Y ) 2 + ( X − Y ) 2 4 = 1 7 2 − 1 1 2 4 = 42 XY=\frac{(X+Y)^2+(X-Y)^2}{4}=\frac{17^2-11^2}{4}=42

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