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M23-37

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Bunuel
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M23-37 [#permalink] New post   16 Sep 2014, 01:20
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85% (01:03) correct 15% (00:57) wrong based on 169 sessions
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In the table above, if \(x\), \(y\), and \(z\) represent numbers, what is the value of \(x + y + z\) ?



(1) The sum of numbers in each row is equal.

(2) The sum of numbers in each column is equal.
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Bunuel
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Re M23-37 [#permalink] New post   16 Sep 2014, 01:20
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In the table above, if \(x\), \(y\), and \(z\) represent numbers, what is the value of \(x + y + z\) ?

(1) The sum of numbers in each row is equal.

This implies that \(x+2+1=2+1+y=1+z+2\), which yields \(x=y=z\). However, this information is not sufficient to determine the value of \(x+y+z\).

(2) The sum of numbers in each column is equal.

This implies that \(x+2+1=2+1+z=1+y+2\), which again yields \(x=y=z\). However, this information is still not sufficient to determine the value of \(x+y+z\).

(1)+(2) Combining both statements, we only know that \(x=y=z\), but this information is not sufficient to determine the value of \(x+y+z\).


Answer: E
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Re: M23-37 [#permalink] New post   15 Feb 2016, 01:01
i thought this question was fair and good.
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Re: M23-37 [#permalink] New post   04 Jul 2017, 19:56
Where it is mentioned that x, y and z should be distinct numbers?
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Bunuel
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Re: M23-37 [#permalink] New post   04 Jul 2017, 21:21
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mchoudh7 wrote:
Where it is mentioned that x, y and z should be distinct numbers?


It is not mentioned. If nothing is mentioned, then variables can represent distinct numbers as well as the same number.
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Re: M23-37 [#permalink] New post   05 Jul 2017, 22:21
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Bunuel wrote:
x 2 1

2 1 y

1 z 2

If in this table above \(x\), \(y\), and \(z\) stand for numbers, what is the value of \(x + y + z\) ?



(1) The sum of numbers in each of the rows is equal.

(2) The sum of numbers in each of the columns is equal.



(1) The sum of numbers in each of the rows is equal

This does not give us the values of x, y and z, only gives information of \(x =y = z\), which is not sufficient to get the values of \(x+y+z\) as x, y and z can be any number and hence values will change.

Hence, (1) =====> is NOT SUFFICIENT

(2) The sum of numbers in each of the columns is equal

Once again, this does not give us the values of x, y and z, only gives information of \(x =y = z\), which is not sufficient to get the values of \(x+y+z\) as x, y and z can be any number and hence values will change.

Hence, (2) =====> is NOT SUFFICIENT

Combining (1) & (2)

Even after combing we will know that x = y = z, and as the values are not provided we will not be able to find the value of \(x + y + z\)

(1) & (2) =====> is NOT SUFFICIENT

Hence, Answer is E
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Re: M23-37 [#permalink] New post   29 May 2022, 06:01
How is x+2+1=2+1+y=1+z+2 gives x=y=z ?

What happened to 3? x+3 = 3+y = 3+z
BrentGMATPrepNow, could you share your insights please? Thanks.
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BrentGMATPrepNow
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Re: M23-37 [#permalink] New post   29 May 2022, 08:54
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Kimberly77 wrote:
How is x+2+1=2+1+y=1+z+2 gives x=y=z ?

What happened to 3? x+3 = 3+y = 3+z
BrentGMATPrepNow, could you share your insights please? Thanks.


3-part equations such as x+3 = 3+y = 3+z behave the same way as 2-part equations.
So, we can take: x+3 = 3+y = 3+z
And subtract 3 from all three parts to get: x + 3 -3 = 3 + y -3 = 3 + z -3
Simplify to get: x = y = z


Alternatively, we can examine the equations in pairs.
For example we know that: x+3 = 3+y
Subtract 3 from both sides of the equation to get: x = y

Similarly, since we know 3+y = 3+z, we can subtract 3 from both sides of this equation to get: y = z
If x = y and y = z, then it must be true that x = y = z
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Re: M23-37 [#permalink] New post   30 Dec 2022, 10:22
I think this is a high-quality question and I agree with explanation. Explanation is good
Thank u
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Re: M23-37 [#permalink] New post   25 Apr 2023, 02:48
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
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Re: M23-37 [#permalink] New post   09 Aug 2023, 11:05
I think this is a high-quality question and I agree with explanation.
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Re: M23-37 [#permalink]
09 Aug 2023, 11:05
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