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# If x and y are two points on the number line what is the

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Senior Manager
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If x and y are two points on the number line what is the [#permalink]

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24 Oct 2009, 00:04
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If x and y are two points on the number line what is the value of x + y?

(1) 6 is halfway between x and y

(2) y = 2x
[Reveal] Spoiler: OA

Last edited by Bunuel on 24 Apr 2012, 05:47, edited 1 time in total.
Edited the question and added the OA
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Re: Number Line [#permalink]

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24 Oct 2009, 05:04
IMO C.

stmt 1: x and y can be anything...(4,8) (5,7)....(-12,24).
stmt 2: y = 2x, again we can have (4,8) (5,10)...since 6 is not necessarily the midpoint of the line segment under consideration.

combining, 6+c = y = 2x, 6-c=x
adding these two equations, we get 12 = 3x => x = 4, y=8. This is the only possibility that satisfies both conditions.

However, if stmt 2 was something like: |y| = |2x|, then answer would have been E.
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Re: Number Line [#permalink]

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24 Oct 2009, 06:24
Yes, answer is C.

The first statement tells us that the average of X and Y is 6, i.e. (X+Y)/2=6 <=> X+Y=12
I.e. one equation in two unknowns => insufficient

The second equation is yet an equation in to unknowns => insufficient.

Combine the two statements to obtain 2x+3x = 3x = 12 <=> X=4 <=> Y=2*4=8.

So the answer is C.
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Re: Number Line [#permalink]

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24 Oct 2009, 09:44
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Expert's post
I have to disagree with C. The answer to the question must be A.

If x and y are two points on the number line what is the value of x + y?

(1) 6 is halfway between x and y. On the GMAT we often see such statement and it can ALWAYS be expressed algebraically as $$6=\frac{x+y}{2}$$ --> $$x+y=12$$. Remember we are asked to determine the value of $$x+y$$ not $$x$$ and $$y$$. Sufficient.

(2) y=2x. Clearly not sufficient

Hope it's clear.
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Re: Number Line [#permalink]

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24 Oct 2009, 09:51
Agreed. It was my mistake. I didn't notice that all possible values of x and y will have a total =12, and that is what the question asks
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If x and y are two points on the number line what is the [#permalink]

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23 Apr 2012, 22:20
If x and y are points on the number line, what is the value of x + y ?
(1) 6 is halfway between x and y.
(2) y = 2x

Ans: A
When we say 6 is midway between x and y it means among x and y one number is 6 + m and other is 6 - m thus sum of x and y is (6+m)+(6-m) thus 12 irrespective of the value of m..
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Re: If x and y are two points on the number line what is the [#permalink]

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28 Dec 2013, 05:48
study wrote:
If x and y are two points on the number line what is the value of x + y?

(1) 6 is halfway between x and y

(2) y = 2x

Question is asking for x+y

Statement 1 means that (x+y)/2 = 6

Hence x+y = 12

This is sufficient

Statement 2 is obviously not sufficient

Hence A

Cheers!
J
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Re: If x and y are two points on the number line what is the [#permalink]

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20 Sep 2014, 18:22
Question is asking X+Y =>

isn't below always 12? ==< answer should be A.
stmt 1: x and y can be anything...(4,8) (5,7)....(-12,24).

Economist wrote:
IMO C.

stmt 1: x and y can be anything...(4,8) (5,7)....(-12,24).
stmt 2: y = 2x, again we can have (4,8) (5,10)...since 6 is not necessarily the midpoint of the line segment under consideration.

combining, 6+c = y = 2x, 6-c=x
adding these two equations, we get 12 = 3x => x = 4, y=8. This is the only possibility that satisfies both conditions.

However, if stmt 2 was something like: |y| = |2x|, then answer would have been E.

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[Reveal] Spoiler:

Re: If x and y are two points on the number line what is the   [#permalink] 20 Sep 2014, 18:22
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