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x-4=z y-x=8 8-z=t For the system of equations given, what

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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Thu Aug 22, 2019 9:32 pm

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BTGmoderatorDC wrote: x-4=z
y-x=8
8-z=t

For the system of equations given, what is the value of z?

(1) x = 7
(2) t = 5

OA D

Source: Official Guide
Let's take each statement one by one.

(1) x = 7

Using the equation x - 4 = z, we get z = 3. Sufficient.

(2) t = 5

Using the equation 8 - z = t, we get z = 3. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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by Brent@GMATPrepNow » Fri Aug 23, 2019 5:14 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

BTGmoderatorDC wrote:x-4=z
y-x=8
8-z=t

For the system of equations given, what is the value of z?

(1) x = 7
(2) t = 5

OA D

Source: Official Guide
Target question: What is the value of z?

Statement 1: x = 7
Scanning the three given equations, we see that equation i is all we need to determine the value of z
i) x - 4 = z
Replace x with 7 to get: 7 - 4 = z
So, z = 3
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: t = 5
Scanning the three given equations, we see that equation iii is all we need to determine the value of z
iii) 8 - z = t
Replace t with 5 to get: 8 - z = 5
So, z = 3
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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