SOLUTION: From these five numbers select three different numbers for x, y, and z, in order to make this expression, x(y - z), as large as possible What is the largest possible value

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Question 251151: From these five numbers select three different numbers for x, y, and z, in order to make this expression, x(y - z), as large as possible

What is the largest possible value of x(y - z)?
A.60 B.85 C.90 D.105 E.120

Answer by palanisamy(496)   (Show Source): You can put this solution on YOUR website!
To get the maximum value of x(y-z), we have to choose the values such that x has a maximium value ans (y-z) has a mazimum value.
The given numbers are 60,85,90,105,120. The maximum value of (y-z) = 60, if we choose z=120 and y = 60.
Then choose the maximum value from other three numbers as x.
Therefore we choose x = 105.
Sothe maximum value of x(y-z) = 105x60 = 6300

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