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# If the sum of five integers is 875, what is the product of t

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Joined: 02 Mar 2013
Posts: 9
If the sum of five integers is 875, what is the product of t  [#permalink]

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Updated on: 19 Jun 2014, 12:41
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Difficulty:

15% (low)

Question Stats:

86% (00:58) correct 14% (01:28) wrong based on 54 sessions

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If the sum of five integers is 875, what is the product of these integers?

(1) The integers are consecutive integers.
(2) The integers are positive integers.

M10-03

Originally posted by sidinsin on 19 Jun 2014, 12:30.
Last edited by Bunuel on 19 Jun 2014, 12:41, edited 1 time in total.
Renamed the topic and edited the question.
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Joined: 02 Sep 2009
Posts: 52905
Re: If the sum of five integers is 875, what is the product of t  [#permalink]

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19 Jun 2014, 12:42
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If the sum of five integers is 875, what is the product of these integers?

(1) The integers are consecutive integers --> write the sum of these integers as: (x-2)+(x-1)+x+(x+1)+(x+2)=875 --> 5x=875 --> we can find x, hence we can find all five integers and thus their product. Sufficient.

Alternately you could spot that there can be only one set of five consecutive integers which add up to 875, so the sequence is fixed and thus its each term can be found.

(2) All five integers are positive. Clearly insufficient.

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Re: If the sum of five integers is 875, what is the product of t  [#permalink]

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19 Jun 2014, 13:09
HI
For St A:
We could have the numbers as: (x)+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=875 or (x-2)+(x-1)+x+(x+1)+(x+2)=875. In either case, the value of X will be different.
For St B:
Not Suff

A+B: Not Suff

Thus, IMO the answer should be E
Math Expert
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Posts: 52905
Re: If the sum of five integers is 875, what is the product of t  [#permalink]

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19 Jun 2014, 13:24
1
sidinsin wrote:
HI
For St A:
We could have the numbers as: (x)+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=875 or (x-2)+(x-1)+x+(x+1)+(x+2)=875. In either case, the value of X will be different.
For St B:
Not Suff

A+B: Not Suff

Thus, IMO the answer should be E

No, that's not correct.

First of all, it should be (x)+(x+1)+(x+2)+(x+3)+(x+4)=875 (we have 5 terms not 6) --> x = 173.

Next, notice that x in my solution is the third term while in yours it's the first. From my solution x=175, so the first term is 173. As you can see the sequence is the same in both cases: {173, 174, 175, 176, 177}.

You will get the same result if you denote the 5th, or any other term by x.

Anyway, you could avoid all this calculations if you understand the second approach given there: there can be only one set of five consecutive integers which add up to 875, so the sequence is fixed and thus its each term can be found.

Hope it's clear.
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Re: If the sum of five integers is 875, what is the product of t  [#permalink]

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05 Feb 2018, 04:30
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Re: If the sum of five integers is 875, what is the product of t   [#permalink] 05 Feb 2018, 04:30
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