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# If y = 3x, and z = 2y, then in terms of x, x + y + z =

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Math Expert
Joined: 02 Sep 2009
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If y = 3x, and z = 2y, then in terms of x, x + y + z = [#permalink]

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09 Aug 2017, 04:38
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Question Stats:

94% (00:33) correct 6% (00:15) wrong based on 65 sessions

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If y = 3x, and z = 2y, then in terms of x, x + y + z =

(A) 10x
(B) 9x
(C) 8x
(E) 6x
(E) 5x
[Reveal] Spoiler: OA

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Kudos [?]: 124659 [2], given: 12079

BSchool Forum Moderator
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Location: India
WE: Sales (Retail)
Re: If y = 3x, and z = 2y, then in terms of x, x + y + z = [#permalink]

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09 Aug 2017, 04:57
1
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Given data:
y = 3x
z = 2y

Therefore, z can be rewritten as 2(3x) = 6x

Since we need to find the value of the expression in terms of x,

x + y + z = x + 3x + 6x = 10x(Option A)
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Math Forum Moderator
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
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Re: If y = 3x, and z = 2y, then in terms of x, x + y + z = [#permalink]

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09 Aug 2017, 08:57
Bunuel wrote:
If y = 3x, and z = 2y, then in terms of x, x + y + z =

(A) 10x
(B) 9x
(C) 8x
(E) 6x
(E) 5x

Let x = 1

So, y = 3 & z = 6

Hence, $$x + y + z$$ = $$1 + 6 + 3$$ = $$10$$

Thus, in terms of x the value of $$x + y + z$$ = $$10$$

Hence, answer must be (A) $$10x$$
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Kudos [?]: 1054 [0], given: 325

Intern
Joined: 12 Aug 2017
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Re: If y = 3x, and z = 2y, then in terms of x, x + y + z = [#permalink]

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15 Aug 2017, 11:45
z = 2y
y = 3x
so z = 2(3x) = 6x

x + 3x + 6x = 10x

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Manhattan GMAT Instructor
Joined: 04 Dec 2015
Posts: 376

Kudos [?]: 222 [1], given: 49

GMAT 1: 790 Q51 V49
GRE 1: 340 Q170 V170
Re: If y = 3x, and z = 2y, then in terms of x, x + y + z = [#permalink]

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15 Aug 2017, 14:06
1
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Expert's post
Bunuel wrote:
If y = 3x, and z = 2y, then in terms of x, x + y + z =

(A) 10x
(B) 9x
(C) 8x
(E) 6x
(E) 5x

Variables in the answer choices tell you to choose your own values! The phrase 'in terms of' is another clue that this will work.

Let's say x = 1.

Then y = 3 and z = 6.

x + y + z = 1 + 3 + 6 = 10.

Plug x into the answer choices to see which one equals 10. In this case it's A.
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Kudos [?]: 222 [1], given: 49

Senior Manager
Joined: 04 Sep 2015
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Location: India
WE: Information Technology (Computer Software)
Re: If y = 3x, and z = 2y, then in terms of x, x + y + z = [#permalink]

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22 Aug 2017, 11:21
If y = 3x, and z = 2y, then in terms of x, x + y + z =

(A) 10x
(B) 9x
(C) 8x
(E) 6x
(E) 5x

Just substitute the values into the last equation

x+3x+6x=10x,option A

Kudos [?]: 72 [0], given: 18

Re: If y = 3x, and z = 2y, then in terms of x, x + y + z =   [#permalink] 22 Aug 2017, 11:21
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