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

Algebra ->  Customizable Word Problem Solvers  -> Misc -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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