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If x > 8, y > 2x, and z > x, then y + z can equal all of the following

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Math Expert
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If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 21 Jan 2019, 01:27
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A
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E

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Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 21 Jan 2019, 01:33
As x>8, let's take x as 9. Then y as 19 and z as 10. min value of y+z is 29. It cannot be 24.

E is the answer.
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If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 21 Jan 2019, 02:14
Bunuel wrote:
If x > 8, y > 2x, and z > x, then y + z can equal all of the following EXCEPT

A 56
B 48
C 40
D 32
E 24



1)x>8.

let x be 8. actual value is greater than 8.

2)y>2x

y>2*8

y=16.

actual value is greater than 16.

3)z>x

z>8.

These are just corner values ......

Adding y + z:

y (min) = 16

z (min) = 8.

y + z ( min) = 24

but actual value must be greater than 24.

Thus, 24 can't be the sum of y +z.


The best answer is E.
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Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 21 Jan 2019, 07:49
Bunuel wrote:
If x > 8, y > 2x, and z > x, then y + z can equal all of the following EXCEPT

A 56
B 48
C 40
D 32
E 24


x=9
y=19
z=9
y+z= 28
IMO E is exception
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If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 27 Nov 2019, 01:13
Bunuel wrote:
If x > 8, y > 2x, and z > x, then y + z can equal all of the following EXCEPT

A 56
B 48
C 40
D 32
E 24



From stem y > 2x, and z > x
Adding both we get
y + z >3x------(a)

but x>8
So 3x > 24

from (a) y + z >24

Ans E
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Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 12 Dec 2019, 13:51
Bunuel wrote:
If x > 8, y > 2x, and z > x, then y + z can equal all of the following EXCEPT

A 56
B 48
C 40
D 32
E 24


Hi,
Its E.
x is greater than 8
y is greater than 16
z is greater than 8
so, y+z = greater than 16 + greater than 8 = greater than 24.
Hence, y+z cannot be 24, which is Option E.
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Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 15 Dec 2019, 18:34
Bunuel wrote:
If x > 8, y > 2x, and z > x, then y + z can equal all of the following EXCEPT

A 56
B 48
C 40
D 32
E 24



Since x is greater than 8, y is greater than 16, and z is greater than 8. Thus, y + z must be greater than 16 + 8 = 24, so it cannot be 24.

Answer: E
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Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following   [#permalink] 15 Dec 2019, 18:34
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