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The sum of three consecutive integers is 312. What is the [#permalink]
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09 Oct 2010, 07:16
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The sum of three consecutive integers is 312. What is the sum of the next three consecutive integers? A) 315 B) 321 C) 330 D) 415 E) 424
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Re: Basic Arithmetic Question (Consecutive Integers) [#permalink]
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09 Oct 2010, 07:21
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Re: Basic Arithmetic Question (Consecutive Integers) [#permalink]
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09 Oct 2010, 07:23
My confusion with this question comes from the explanation given ( Kaplan Math Workbook). They state that we can set up the problem as follows: x + (x+1) + (x+2) = 312 = 3x + 3 therefore, the next three integers would be: (x+3) + (x+4) + (x+5) = 3x + 12. 12 is 9 greater than 3 from the previous equation so: 3x + 12 = 312 + 9, or 321. However, what dictates that the consecutive integers have to be single digit increments. Doesn't consecutive integers also include 2,4,6 and 3,6,9? That would change the whole answer. What am I missing? [url= Posted from [url= ToolKit[/color][/url] Posted from GMAT ToolKit



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Re: Basic Arithmetic Question (Consecutive Integers) [#permalink]
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09 Oct 2010, 07:26
Robiou wrote: My confusion with this question comes from the explanation given ( Kaplan Math Workbook). They state that we can set up the problem as follows: x + (x+1) + (x+2) = 312 = 3x + 3 therefore, the next three integers would be: (x+3) + (x+4) + (x+5) = 3x + 12. 12 is 9 greater than 3 from the previous equation so: 3x + 12 = 312 + 9, or 321. However, what dictates that the consecutive integers have to be single digit increments. Doesn't consecutive integers also include 2,4,6 and 3,6,9? That would change the whole answer. What am I missing? [url= Posted from [url= ToolKit[/color][/url] Posted from GMAT ToolKitWhen we see "consecutive integers" it ALWAYS means integers that follow each other in order with common difference of 1: ... x3, x2, x1, x, x+1, x+2, .... 7, 6, 5 are consecutive integers. 2, 4, 6 ARE NOT consecutive integers, they are consecutive even integers. 3, 5, 7 ARE NOT consecutive integers, they are consecutive odd integers. Hope it helps.
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Re: Basic Arithmetic Question (Consecutive Integers) [#permalink]
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09 Oct 2010, 09:13
That helps tremendously. It is these little synaptic peculiarities that make the most difference. Posted from GMAT ToolKit



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Re: Basic Arithmetic Question (Consecutive Integers) [#permalink]
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13 Sep 2012, 06:17
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I solved this in a little different way
The sum of three consecutive (x+y+Z) = 312 Average = 312/3 = 104, x = 103, y= 104 & z= 105 sum of next three numbers = 106+107+108 = 321



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Re: The sum of three consecutive integers is 312. What is the [#permalink]
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22 May 2015, 22:23
Hi All, This question can be solved in a number of different ways, depending on what type of logic/math you find easiest to deal with. There is a great 'logic pattern' here that can help you to avoid almost all of the math.... We're told that the sum of three consecutive integers is 312. We're asked for the sum of the next three consecutive integers.... Since the numbers are consecutive, we know that each number is 1 greater than the number that comes immediately before it. By extension, the 4th number is 3 greater than the 1st number, the 5th number is 3 greater than the 2nd number and the 6th number is 3 greater than the 3rd number. If we call the three integers A, B and C, the next three integers would be A+3, B+3, and C+3. Thus, the sum of the next 3 numbers is 3+3+3 = 9 greater than the sum of A, B and C. A+B+C = 312 312 + 9 = 321 Final Answer: GMAT assassins aren't born, they're made, Rich
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What does consecutive mean? [#permalink]
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28 Aug 2017, 05:13
In my life, I have used the word consecutive to refer to things that follow immediately after another. For example, I would have said that 3,4,5 are consecutive integers but that 3,5,7 are not consecutive. Kaplan math workbook defines consecutive as: a list of numbers is consecutive if the numbers occur either at a fixed interval, or exhibit a fixed pattern. Thant implies 3,5,7 are consecutive. Kaplan gives an example of consecutive numbers: 6,4,2,0,2,4. I've been trying to get used to this new definition. However, in the math workbook (9th edition page 32) Kaplan has the following question: The sum of three consecutive integers is 312. What is the sum of the next three consecutive integers? 315 321 330 415 424 I saw this problem and thought, I can solve this if I use my old definition of consecutive (following immediately after another) but using the definition Kaplan gave me (occurring at regular intervals) I do not have enough information to solve this. Am I missing something? What do I do about this? Help appreciated.
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Re: The sum of three consecutive integers is 312. What is the [#permalink]
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28 Aug 2017, 06:17
grahamtandrew wrote: In my life, I have used the word consecutive to refer to things that follow immediately after another. For example, I would have said that 3,4,5 are consecutive integers but that 3,5,7 are not consecutive. Kaplan math workbook defines consecutive as: a list of numbers is consecutive if the numbers occur either at a fixed interval, or exhibit a fixed pattern. Thant implies 3,5,7 are consecutive. Kaplan gives an example of consecutive numbers: 6,4,2,0,2,4. I've been trying to get used to this new definition. However, in the math workbook (9th edition page 32) Kaplan has the following question: The sum of three consecutive integers is 312. What is the sum of the next three consecutive integers? 315 321 330 415 424 I saw this problem and thought, I can solve this if I use my old definition of consecutive (following immediately after another) but using the definition Kaplan gave me (occurring at regular intervals) I do not have enough information to solve this. Am I missing something? What do I do about this? Help appreciated. Merging topics. Your doubt is addressed above: "Consecutive integers" ALWAYS mean integers that follow each other in order with common difference of 1: ... x3, x2, x1, x, x+1, x+2, .... For example: 7, 6, 5 are consecutive integers. 2, 4, 6 ARE NOT consecutive integers, they are consecutive even integers. 3, 5, 7 ARE NOT consecutive integers, they are consecutive odd integers. So, you are right and Kaplan is not. P.S. Please follow the rules when posting a question.
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Re: The sum of three consecutive integers is 312. What is the [#permalink]
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28 Aug 2017, 07:39
Thanks for taking the time to respond and help me out. I still am a little confused though. I'm trying to understand if consecutive means "immediately following on another" or "intervaled". If you're telling me that consecutive integers means "immediately following eachother intervals" than should I assume that consecutive means "immediately following"? Or should I assume that consecutive means "intervaled" but that placing the word integers after consecutive alters (or adds specificity to) the definition of consecutive to imply the "immediately following" portion of the definition? Sent from my iPhone using GMAT Club Forum
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Re: The sum of three consecutive integers is 312. What is the [#permalink]
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28 Aug 2017, 07:42
grahamtandrew wrote: Thanks for taking the time to respond and help me out. I still am a little confused though.
I'm trying to understand if consecutive means "immediately following on another" or "intervaled". If you're telling me that consecutive integers means "immediately following eachother intervals" than should I assume that consecutive means "immediately following"? Or should I assume that consecutive means "intervaled" but that placing the word integers after consecutive alters (or adds specificity to) the definition of consecutive to imply the "immediately following" portion of the definition?
Sent from my iPhone using GMAT Club Forum I think I answered this above. "Consecutive integers" ALWAYS mean integers that follow each other in order with common difference of 1: ... x3, x2, x1, x, x+1, x+2, .... ..., 3, 2, 1, 0, 1, 2, 3, 4, ... are consecutive integers.
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Re: The sum of three consecutive integers is 312. What is the [#permalink]
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28 Aug 2017, 08:19
Bunuel wrote: grahamtandrew wrote: Thanks for taking the time to respond and help me out. I still am a little confused though.
I'm trying to understand if consecutive means "immediately following on another" or "intervaled". If you're telling me that consecutive integers means "immediately following eachother intervals" than should I assume that consecutive means "immediately following"? Or should I assume that consecutive means "intervaled" but that placing the word integers after consecutive alters (or adds specificity to) the definition of consecutive to imply the "immediately following" portion of the definition?
Sent from my iPhone using GMAT Club Forum I think I answered this above. "Consecutive integers" ALWAYS mean integers that follow each other in order with common difference of 1: ... x3, x2, x1, x, x+1, x+2, .... ..., 3, 2, 1, 0, 1, 2, 3, 4, ... are consecutive integers. Thanks again for reiterating the meaning of the phrase "consecutive integers." I think I have a very clear picture of what that phrase means. What I was asking in the last question was more of what does "consecutive" mean. If the phrase "consecutive integers" means "integers immediately following one another" then I could infer that consecutive means "immediately following one another." However, that is a clear contradiction to what Kaplan says. So another explanation could be that consecutive means "in regular intervals" but that the phrase "consecutive integers" is commonly understood to add additional specificity and that the phrase implies the immediately following. Essentially there are a whole bunch of phrases that could involve the word consecutive: consecutive integers (which thanks to you I know it means immediately following one another integers) consecutive numbers a, b, and c are consecutive ... I still want to know the meaning of the word consecutive. If anyone knows, please help.
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Re: The sum of three consecutive integers is 312. What is the [#permalink]
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28 Aug 2017, 09:26
The answer is B Let the number be X ,X+1,X+2 Their sum =312 3x+3=312 x=103 So next three numbers are 106,107,108 so their sum equals =321 Sent from my ONE E1003 using GMAT Club Forum mobile app
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Re: The sum of three consecutive integers is 312. What is the [#permalink]
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28 Aug 2017, 09:59
Arvind thanks but I think we all know how to solve the problem. The question is more on the definition of consecutive and how it applies to other questions. The question was what "consecutive integer" means but Bunuel cleared that up. Now we just need someone who know what consecutive means Sent from my iPhone using GMAT Club Forum
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Re: The sum of three consecutive integers is 312. What is the [#permalink]
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31 Aug 2017, 09:16
Robiou wrote: The sum of three consecutive integers is 312. What is the sum of the next three consecutive integers?
A) 315 B) 321 C) 330 D) 415 E) 424 We can create the following equation: x + x + 1 + x + 2 = 312 3x + 3 = 312 3x = 309 x = 103 So, the sum of the next three integers is 106 + 107 + 108 = 321. Alternate Solution: If the sum of x, x + 1, and x + 2 is 312, then the sum of x + 3, x + 4, and x + 5 will be 9 more than 312, since each integer in the second list is 3 more than the corresponding integer in the first list. Thus, the sum of the next three integers is 312 + 9 = 321. Answer: B
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Re: The sum of three consecutive integers is 312. What is the [#permalink]
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31 Aug 2017, 09:31
JeffTargetTestPrep, I think everyone in this thread knows how to solve the problem. The discussion is on the meaning of consecutive. Thanks anyway Sent from my iPhone using GMAT Club Forum
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Re: The sum of three consecutive integers is 312. What is the
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