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Re: What is the sum of 60 consecutive integers from -29 inclusive, in a in [#permalink]

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08 Aug 2016, 14:39

Top Contributor

30 numbers from -29 is +30, including -29 and 30 themselves. A, C are wrong because the number cannot be negative. B is not the answer since -29+29+1 is 59. IMO D

Re: What is the sum of 60 consecutive integers from -29 inclusive, in a in [#permalink]

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27 Oct 2016, 12:27

For this problem it is useful to try to visualize the number line:

-29 to 0: how many numbers is that? --> 29-0+1 = 30...GREAT! we're half way there

30-1+1 = 30 --> 30+30 = 60

We know that on the left hand side of zero we have -29 as the smallest value and on the right hand side we have all of the same values except 30. -29 cancels out with 29 in addition to all other values greater than -29 and less than 30. Thus, we are left with 30.