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Three consecutive integers have a sum of −84.

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Three consecutive integers have a sum of −84. [#permalink] New post 18 Jan 2016, 08:11
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60% (00:37) correct 39% (00:37) wrong based on 86 sessions
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.




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Re: Three consecutive integers have a sum of −84. [#permalink] New post 18 Jan 2016, 08:17
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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 \(B\)
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Re: Three consecutive integers have a sum of −84. [#permalink] New post 26 Jul 2017, 12:14
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Re: Three consecutive integers have a sum of −84. [#permalink] New post 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] New post 15 Nov 2018, 02:32
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If i consider the three integers as x-1,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] New post 15 Nov 2018, 03:06
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skjoshi267 wrote:
If i consider the three integers as x-1,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 x-1, 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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Re: Three consecutive integers have a sum of −84. [#permalink] New post 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] New post 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] New post 26 Nov 2018, 21:59
thank you
Re: Three consecutive integers have a sum of −84.   [#permalink] 26 Nov 2018, 21:59
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