Question 324928: What is the largest possible product for 2 even integers whose sum is 34 ?
F.64
G.68
H.120
J.240
K.288
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is the largest possible product for 2 even integers whose sum is 34 ?
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If the numbers are even they must be multiples of 2.
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(2x)+(2y) = 34
x+y = 17
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product = 2x*2y = 4xy
Substitute for "y" to get:
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product = 4x(-x+17) = -4x^2+68x
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Max occurs when x = -b/2a = -68/(-8) = 8.5
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2x = 2(8.5) = 17
Note: 2x is not an even number
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Since x+y = 17, y = 8.5
2y = 17
Note: 2y is not an even number
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The even number sum must be 16 and 18
The max product must be (16)(18)
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Cheers,
Stan H.
F.64
G.68
H.120
J.240
K.288
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