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Three consecutive integers have a sum of −84. [#permalink]
18 Jan 2016, 08:11
Question Stats:
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Three consecutive integers have a sum of −84.
Quantity A 
Quantity B 
The least of the three integers 
−28 
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given. Practice Questions Question: 5 Page: 339 Difficulty: medium
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Re: Three consecutive integers have a sum of −84. [#permalink]
18 Jan 2016, 08:17
SolutionThe best approach to the question is conceptually 3 consecutive integers are \(x, (x+1), (x+2) = 84\). After calculation we do have: \(x= 29\) \(29 < 28\) on the number line The answer is \(B\)
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Re: Three consecutive integers have a sum of −84. [#permalink]
26 Jul 2017, 12:14
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Re: Three consecutive integers have a sum of −84. [#permalink]
13 Nov 2018, 19:43
Carcass wrote: Solution
The best approach to the question is conceptually
3 consecutive integers are \(x, (x+1), (x+2) = 84\). After calculation we do have: \(x= 29\)
\(29 < 28\) on the number line
The answer is \(B\) After calculation ..... It is better if you show the calculation.



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Re: Three consecutive integers have a sum of −84. [#permalink]
15 Nov 2018, 02:32
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If i consider the three integers as x1,x,x+1 i get, x=28
Under such a scenario, the integers become: 29,28,27 For this, the answer would be 27 > 28



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Re: Three consecutive integers have a sum of −84. [#permalink]
15 Nov 2018, 03:06
skjoshi267 wrote: If i consider the three integers as x1,x,x+1 i get, x=28
Under such a scenario, the integers become: 29,28,27 For this, the answer would be 27 > 28 The least of the three integers 29,28,27 is 29 and not 27.... Let the three integers be x1, X, X+1... So 3x=84...X=28 So numbers are 29,28,27 Least is 29 and is >28 So A<B
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Some useful Theory. 1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressionsarithmeticgeometricandharmonic11574.html#p27048 2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effectsofarithmeticoperationsonfractions11573.html?sid=d570445335a783891cd4d48a17db9825 3. Remainders : https://greprepclub.com/forum/remainderswhatyoushouldknow11524.html 4. Number properties : https://greprepclub.com/forum/numberpropertyallyourequire11518.html 5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolutemodulusabetterunderstanding11281.html



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Re: Three consecutive integers have a sum of −84. [#permalink]
19 Nov 2018, 17:08
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AE wrote: Carcass wrote: Solution
The best approach to the question is conceptually
3 consecutive integers are \(x, (x+1), (x+2) = 84\). After calculation we do have: \(x= 29\)
\(29 < 28\) on the number line
The answer is \(B\) After calculation ..... It is better if you show the calculation. Basically it would be 3x + 3 = 84 so then it would be 3x = 87 x = 29 (the least of them) Since 29 < 28. The answer is B



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Re: Three consecutive integers have a sum of −84. [#permalink]
20 Nov 2018, 20:42
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Answer: B
These integers are consecutive and their sum equals 84 Because they are consecutive they can’t have any arbitrary value, they should have such a shape: x, x+1, x+2 x + x+1 + x+2 = 3x+ 3 = 84 3x = 84 3 =87 x = 29 A which is 29 is less than B which is 28. The answer is B.
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Re: Three consecutive integers have a sum of −84. [#permalink]
26 Nov 2018, 21:59
thank you




Re: Three consecutive integers have a sum of −84.
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