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# If the sum of the last 3 integers in a set of 7 consecutive

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Current Student
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If the sum of the last 3 integers in a set of 7 consecutive [#permalink]

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20 Sep 2013, 16:29
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If the sum of the last 3 integers in a set of 7 consecutive integers is 258, what is the sum of the first 4 integers?

Any fast approaches are more than welcome.
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Re: If the sum of the last 3 integers in a set of 7 consecutive [#permalink]

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20 Sep 2013, 16:37
Let x, x+1,x+2 be the sum of last 3 consecutive integers which equals 258. X is thus 255/3=85. The other 4 nos are 81,82,83,84. Kudo me if you like the answer.
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Re: If the sum of the last 3 integers in a set of 7 consecutive [#permalink]

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20 Sep 2013, 16:38
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jlgdr wrote:
If the sum of the last 3 integers in a set of 7 consecutive integers is 258, what is the sum of the first 4 integers?

Any fast approaches are more than welcome.

Say 7 consecutive integers are x-3, x-2, x-1, x, x+1, x+2, x+3.

The sum of the last 3 integers = (x+1) + (x+2) + (x+3) = 3x + 6 = 258 --> x = 84
The sum of the first 4 integers = (x-3) + (x-2) + (x-1) + x = 4x - 6 = 330.
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Current Student
Joined: 06 Sep 2013
Posts: 2005
Concentration: Finance
Followers: 68

Kudos [?]: 643 [0], given: 355

Re: If the sum of the last 3 integers in a set of 7 consecutive [#permalink]

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11 Dec 2013, 16:53
tapanrajurkar wrote:
Let x, x+1,x+2 be the sum of last 3 consecutive integers which equals 258. X is thus 255/3=85. The other 4 nos are 81,82,83,84. Kudo me if you like the answer.

Trying to get more creative than this.

Cheers!
J
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Re: If the sum of the last 3 integers in a set of 7 consecutive [#permalink]

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01 Mar 2015, 00:09
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Re: If the sum of the last 3 integers in a set of 7 consecutive   [#permalink] 01 Mar 2015, 00:09
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