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Math Expert V
Joined: 02 Sep 2009
Posts: 56304
If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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Difficulty:   15% (low)

Question Stats: 77% (01:15) correct 23% (01:28) wrong based on 116 sessions

### HideShow timer Statistics If 2x=4y=z, what is x-y, in terms of z?

A. z/4
B. z/2
C. z
D. 2z
E. 4z

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Re: If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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Bunuel wrote:
If 2x=4y=z, what is x-y, in terms of z?

A. z/4
B. z/2
C. z
D. 2z
E. 4z

2x=4y=z

i.e. x = z/2

and y = z/4

x-y = z/2 - z/4 = z/4

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Manager  Joined: 11 Jul 2016
Posts: 78
Re: If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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Given
2x =4y =z

2x=4y
=> x = 2y ...(1)

Also, 2x = z
or, 2.(2y) = z (Putting value of x from equation 1)
or y = z/4
x-y = z/4
Option A
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3359
Location: India
GPA: 3.12
Re: If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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Another way to solve this is putting numbers in place of x,y,z

Try z=8,y=2,x=4
Then, x-y = 2 = z/4(Option A)
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Joined: 17 Aug 2015
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Re: If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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Consider 2x=z; then x=Z/2 and similarly Y=Z/4

X-Y =Z/2-Z/4= 2Z-Z/4 =Z/4 - Which is option A
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Re: If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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Bunuel wrote:
If 2x=4y=z, what is x-y, in terms of z?

A. z/4
B. z/2
C. z
D. 2z
E. 4z

Solve by plugging in some values , a 10 sec approach !!

Let , 2x = 4y = z = 8

So, x = 4 , y = 2 and z = 8

Now, x - y = 4 - 2 =>2

In terms of z it will be $$\frac{8}{4}$$

Hence correct answer will be (A) $$\frac{z}{4}$$
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Current Student B
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Joined: 05 Sep 2016
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Re: If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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2x=4y=z

4y=z --> y = z/4

2x=z --> x = z/2

x-y = (z/4)-(z/2) = z/4
Current Student B
Joined: 08 Oct 2016
Posts: 49
Re: If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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Is this really a 600-level question? It's hard for me to tell sometimes.
Target Test Prep Representative G
Affiliations: Target Test Prep
Joined: 04 Mar 2011
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Re: If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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1
Bunuel wrote:
If 2x=4y=z, what is x-y, in terms of z?

A. z/4
B. z/2
C. z
D. 2z
E. 4z

Since we have three equal terms we can create two equations.

2x = z

x = z/2

4y = z

y = z/4

Thus, x - y = z/2 - z/4 = 2z/4 - z/4 = z/4

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Intern  B
Joined: 14 Jun 2018
Posts: 5
If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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Abhishek009 wrote:
Bunuel wrote:
If 2x=4y=z, what is x-y, in terms of z?

A. z/4
B. z/2
C. z
D. 2z
E. 4z

Solve by plugging in some values , a 10 sec approach !!

Let , 2x = 4y = z = 8

So, x = 4 , y = 2 and z = 8

Now, x - y = 4 - 2 =>2

In terms of z it will be $$\frac{8}{4}$$

Hence correct answer will be (A) $$\frac{z}{4}$$

Hi, I don´t really get why if the result of x- y is 2, goes after "=" as 4. Is it related to what says about in terms of z ? Could you please your answer by breaking into many pieces?
Intern  B
Joined: 14 Jun 2018
Posts: 5
Re: If 2x=4y=z, what is x-y, in terms of z?  [#permalink]

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Abhishek009 wrote:
Bunuel wrote:
If 2x=4y=z, what is x-y, in terms of z?

A. z/4
B. z/2
C. z
D. 2z
E. 4z

Solve by plugging in some values , a 10 sec approach !!

Let , 2x = 4y = z = 8

So, x = 4 , y = 2 and z = 8

Now, x - y = 4 - 2 =>2

In terms of z it will be $$\frac{8}{4}$$

Hence correct answer will be (A) $$\frac{z}{4}$$

Hi, I don´t really get why if the result of x- y is 2, goes after "=" as 4. Is it related to what says about in terms of z ? Could you please your answer by breaking into many pieces? Re: If 2x=4y=z, what is x-y, in terms of z?   [#permalink] 24 Sep 2018, 11:48
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