Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Join a free live webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today!

Enter to win 3 full months of access to EMPOWERgmat's groundbreaking GMAT prep course. Prize includes all 6 GMAT Official Practice exams and access to the GMAT Club Test & Quiz Bank Pack.

Target Test Prep is kicking off spring with a fresh giveaway contest! For a limited time, you have a chance to win 4 months of full, FREE access to our 5-star rated GMAT Quant course.

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.

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.

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

Show Tags

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..

Status: Please do not forget to give kudos if you like my post

Joined: 19 Sep 2008

Posts: 90

Location: United States (CA)

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

Show Tags

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.

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

Show Tags

13 Feb 2017, 18:52

Whenever see a statement about AVERAGES (of which 'halfway' is one), you should automatically associate averages with SUMS. in other words, if you ever see a statement about an average, you should immediately translate that statement into the language of sums. to do so, just use the following equation: average = sum / # of data points or, equivalently, sum = (average) x (# of data points)

statement (1): this tells you that 6 is the average of x and y (or, (x + y)/2 = 6). therefore, sum of x + y = (average)(# of data points) = 6 x 2 = 12. you can also do good old fashioned algebra to get this result: multiply both sides of (x + y)/2 = 6 by 2 to yield x + y = 12. in fact, that's probably easier on this problem, but it's important that you learn the average/sum formula so that you can apply it effortlessly to other situations (such as sums of 10, 20, or more numbers) on which an algebraic solution would be awkward or just plain impossible in a reasonable amount of time.

in any case, x + y = 12, so this is sufficient.

statement (2): clearly insufficient by itself, since x and y could be huge (1 million and 2 million) or tiny (0.0001 and 0.0002).

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

Show Tags

21 Feb 2017, 02:06

anairamitch1804 wrote:

Whenever see a statement about AVERAGES (of which 'halfway' is one), you should automatically associate averages with SUMS. in other words, if you ever see a statement about an average, you should immediately translate that statement into the language of sums. to do so, just use the following equation: average = sum / # of data points or, equivalently, sum = (average) x (# of data points)

statement (1): this tells you that 6 is the average of x and y (or, (x + y)/2 = 6). therefore, sum of x + y = (average)(# of data points) = 6 x 2 = 12. you can also do good old fashioned algebra to get this result: multiply both sides of (x + y)/2 = 6 by 2 to yield x + y = 12. in fact, that's probably easier on this problem, but it's important that you learn the average/sum formula so that you can apply it effortlessly to other situations (such as sums of 10, 20, or more numbers) on which an algebraic solution would be awkward or just plain impossible in a reasonable amount of time.

in any case, x + y = 12, so this is sufficient.

statement (2): clearly insufficient by itself, since x and y could be huge (1 million and 2 million) or tiny (0.0001 and 0.0002).

Hence A.

anairamitch1804 wrote:

Whenever see a statement about AVERAGES (of which 'halfway' is one), you should automatically associate averages with SUMS. in other words, if you ever see a statement about an average, you should immediately translate that statement into the language of sums. to do so, just use the following equation: average = sum / # of data points or, equivalently, sum = (average) x (# of data points)

statement (1): this tells you that 6 is the average of x and y (or, (x + y)/2 = 6). therefore, sum of x + y = (average)(# of data points) = 6 x 2 = 12. you can also do good old fashioned algebra to get this result: multiply both sides of (x + y)/2 = 6 by 2 to yield x + y = 12. in fact, that's probably easier on this problem, but it's important that you learn the average/sum formula so that you can apply it effortlessly to other situations (such as sums of 10, 20, or more numbers) on which an algebraic solution would be awkward or just plain impossible in a reasonable amount of time.

in any case, x + y = 12, so this is sufficient.

statement (2): clearly insufficient by itself, since x and y could be huge (1 million and 2 million) or tiny (0.0001 and 0.0002).

Hence A.

What if x=-5 and y = 22 the sum is 17. If x= -10 and y = 32 the sum is 22. Statement never said that the numbers are +ve. Also the stat 1 and 2 speak only about alzebra not about absolute distance. Please help. I think the answer is C as it gives unique solution ie 4 and 8.

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

Show Tags

06 Apr 2019, 07:48

Top Contributor

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

Target question:What is the value of x + y?

Statement 1: 6 is halfway between x and y. KEY CONCEPT: The average (arithmetic mean) of 2 numbers is HALFWAY between those 2 numbers. For example, the average of 1 and 9 is 5. Notice that 5 is HALFWAY between 1 and 9.

So, statement is telling us that 6 is the average of x and y In other words, (x + y)/2 = 6 This means x + y = 12 The answer to the target question is x + y = 12 Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: y = 2x There are infinitely many values of x and y that satisfy statement 2. Here are two: Case a: x = 1 and y = 2. In this case, the answer to the target question is x + y = 1 + 2 = 3 Case b: x = 3 and y = 6. In this case, the answer to the target question is x + y = 3 + 6 = 9 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT