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If x/2 + y = z, what is the value of z ?

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Math Expert
Joined: 02 Sep 2009
Posts: 50042
If x/2 + y = z, what is the value of z ?  [#permalink]

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25 Sep 2017, 00:08
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Difficulty:

75% (hard)

Question Stats:

50% (01:54) correct 50% (01:22) wrong based on 47 sessions

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If x/2 + y = z, what is the value of z ?

(1) x + y = 1
(2) x + 2z = 2

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Senior Manager
Joined: 02 Jul 2017
Posts: 294
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
Re: If x/2 + y = z, what is the value of z ?  [#permalink]

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25 Sep 2017, 00:36
If x/2 + y = z, what is the value of z ?
=> x+2y = 2z

(1) x + y = 1
=> x+2y=2z => 1+y =2z
Insufficient

(2) x + 2z = 2
=> x+2y = 2z => 2-2z +2y =2z => 4z =2y+2 => 2z= y+1
Insufficient

1+2
We get same information in both. No new information

Manager
Joined: 14 Sep 2016
Posts: 138
Re: If x/2 + y = z, what is the value of z ?  [#permalink]

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25 Sep 2017, 03:05
Subtract 1 from 2
we get Y = -1 + 2z
and from 2 we know X = 2 - 2Z

Hence putting the value of X and Y in X/2 + Y = Z
We, get Z = 1

hence, C is the correct answer.

Feedback will be appreciated.
Thank you.
Senior Manager
Joined: 02 Jul 2017
Posts: 294
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
If x/2 + y = z, what is the value of z ?  [#permalink]

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25 Sep 2017, 03:09
kunalsinghNS wrote:
Subtract 1 from 2
we get Y = -1 + 2z
and from 2 we know X = 2 - 2Z

Hence putting the value of X and Y in X/2 + Y = Z
We, get Z = 1

hence, C is the correct answer.

Feedback will be appreciated.
Thank you.

Hence putting the value of X and Y in X/2 + Y = Z
=> (2-2z)/2+(-1+2z)= z
=> (1-z)+(-1+2z)=z
=> 1-z-1+2z=z
=>z=z

At end we just got z=z. Can you please check how you got z=1 ???? . We are not getting value of z at the end .

Manager
Joined: 14 Sep 2016
Posts: 138
Re: If x/2 + y = z, what is the value of z ?  [#permalink]

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25 Sep 2017, 03:14
Nikkb wrote:
kunalsinghNS wrote:
Subtract 1 from 2
we get Y = -1 + 2z
and from 2 we know X = 2 - 2Z

Hence putting the value of X and Y in X/2 + Y = Z
We, get Z = 1

hence, C is the correct answer.

Feedback will be appreciated.
Thank you.

Hence putting the value of X and Y in X/2 + Y = Z
=> (2-2z)/2+(-1+2z)= z
=> (1-z)+(-1+2z)=z
=> 1-z-1+2z=z
=>z=z

At end we just got z=z. Can you please check how you got z=1 ???? . We are not getting value of z at the end .

I wrongly took X as 2z - 2 instead of 2 - 2z

Thank you for correcting me !
Re: If x/2 + y = z, what is the value of z ? &nbs [#permalink] 25 Sep 2017, 03:14
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If x/2 + y = z, what is the value of z ?

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