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# A number is to be written in each of the small squares in the figure

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Re: A number is to be written in each of the small squares in the figure [#permalink]
As per qth stem: 9 + x+ y = 4 + y +z
or 5 + x = z
or x = z -5

If we get z, we will get x

Let's analyze the statements:

I: z= 5: As per initial analysis; we can get x SUFFICIENT
II: y = 8; we cannot get z or x using this. NOT SUFFICIENT

Hence A
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Re: A number is to be written in each of the small squares in the figure [#permalink]
Bunuel wrote:

A number is to be written in each of the small squares in the figure above so that the sum of the numbers in any row is the same as the sum of the number s in any column: What number does x represent?

(1) z represents 5.
(2) y represents 8.

DS20400

Attachment:
1.png

(1) z represents 5.

$$4 + y + 5 = 9 + x + y$$

$$9 + y = 9 + x + y$$

$$0 = x$$

SUFFICIENT.

(2) y represents 8.

$$4 + y + z = 9 + x + y$$

$$4 + 8 + z = 9 + x + 8$$

$$12 + z = 17 + x$$

We have two variables remaining; INSUFFICIENT.

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Re: A number is to be written in each of the small squares in the figure [#permalink]
Why is B not sufficient? I used a plug and play approach.

The square would look like this:

5 9 3
8 0 9
4 8 5

Each row and column adds up to 17. x = 0.
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Re: A number is to be written in each of the small squares in the figure [#permalink]
CEdward wrote:
Why is B not sufficient? I used a plug and play approach.

The square would look like this:

5 9 3
8 0 9
4 8 5

Each row and column adds up to 17. x = 0.

Hello CEdward,

The reason why B is not sufficient is because more than one value of x can satisfy the condition, just try to put x=1 and z=6 you will see that it satisfies the condition.
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A number is to be written in each of the small squares in the figure [#permalink]
1
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Is it just me who was thrown off by the official GMAT question asking "sum of the number s in any column"? For 30 seconds I was trying to figure out, what do they mean by "number S"...
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Re: A number is to be written in each of the small squares in the figure [#permalink]
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Re: A number is to be written in each of the small squares in the figure [#permalink]
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