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# If yz = 6, what is the value of yz(y - z)?

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Math Expert
Joined: 02 Sep 2009
Posts: 51218
If yz = 6, what is the value of yz(y - z)?  [#permalink]

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03 Dec 2017, 00:32
00:00

Difficulty:

55% (hard)

Question Stats:

71% (01:55) correct 29% (01:47) wrong based on 32 sessions

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If yz = 6, what is the value of yz(y - z)?

(1) y*z^2 = -12
(2) y + z = -5

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Re: If yz = 6, what is the value of yz(y - z)?  [#permalink]

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03 Dec 2017, 01:50
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Bunuel wrote:
If yz = 6, what is the value of yz(y - z)?

(1) y*z^2 = -12
(2) y + z = -5

Given: yz = 6

Question: Value of yz(y - z)?

Statement 1: y*z^2 = -12

i.e. y*z*z = -12
i.e. (6)z = -12
i.e. z = -2 i.e. y = -3
SUFFICIENT

Statement 2: y + z = -5
Case 1: y=-2 and z=-3
Case 2: y=-3 and z=-2
NOT SUFFICIENT

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Re: If yz = 6, what is the value of yz(y - z)? &nbs [#permalink] 03 Dec 2017, 01:50
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