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What is the greatest number of consecutive integers whose sum is 45?

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Senior Manager
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What is the greatest number of consecutive integers whose sum is 45?  [#permalink]

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23 Mar 2019, 10:17
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Difficulty:

65% (hard)

Question Stats:

33% (01:23) correct 67% (01:32) wrong based on 49 sessions

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What is the greatest number of consecutive integers whose sum is 45?

(A) 9 (B) 25 (C) 45 (D) 90 (E) 120
Intern
Joined: 12 Feb 2018
Posts: 12
Re: What is the greatest number of consecutive integers whose sum is 45?  [#permalink]

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24 Mar 2019, 18:31
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-44 to 45. So that all other integers cancel each other. Finally, 0+45 = 45 Sum. N = 90
Intern
Joined: 11 Nov 2018
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Re: What is the greatest number of consecutive integers whose sum is 45?  [#permalink]

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14 May 2019, 13:20
Hello!

I realised that despite the same questions, they have completely different answers. I totally understand how do we arrive at the answer 45 but I'm still scratching my head on how to get to answer of 26 from the other post?

Thanks!
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Re: What is the greatest number of consecutive integers whose sum is 45?  [#permalink]

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14 May 2019, 21:32
What is the greatest number of consecutive integers whose sum is 45?

(A) 9 (B) 25 (C) 45 (D) 90 (E) 120

Not sure whether GMAT asks this type of question but it is tricky.

At first glance this question stumped me, I knew the sum of first 9 numbers is 45

Formula ---> n(n+1)/2

but the question does not state only positive integers rather it mentions consecutive numbers. So numbers could be positive and negative

-44 to +45
total of 90 numbers

-44 to -1 = 44 numbers
---> 0 = 1 number
1 to 45 = 45 numbers
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Re: What is the greatest number of consecutive integers whose sum is 45?  [#permalink]

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16 May 2019, 20:02
What is the greatest number of consecutive integers whose sum is 45?

(A) 9 (B) 25 (C) 45 (D) 90 (E) 120

If we have the consecutive integers from -44 to 44, the sum is zero. Adding in 45, the sum becomes 45.

So the number of integers is 45 - (-44) + 1 = 90.

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Re: What is the greatest number of consecutive integers whose sum is 45?   [#permalink] 16 May 2019, 20:02
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