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If x is equal to the sum of the integers from 30 to 50, incl

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Joined: 12 Dec 2010
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If x is equal to the sum of the integers from 30 to 50, incl [#permalink] New post 19 Dec 2010, 15:14
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Question Stats:

58% (02:52) correct 41% (02:20) wrong based on 24 sessions
If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of even integers from 30 to 50, inclusive, what is the value of x + y ?

(A) 810
(B) 811
(C) 830
(D) 850
(E) 851
[Reveal] Spoiler: OA

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Re: Number Properties Question [#permalink] New post 19 Dec 2010, 15:31
Expert's post
MasterGMAT12 wrote:
Please help with the approach for the below question:

If x is equal to the sum of the integers from 30 to 50, inclusive, and y is the number of even integers from 30 to 50, inclusive, what is the value of x + y ?
(A) 810
(B) 811
(C) 830
(D) 850
(E) 851


The sum of the integers from 30 to 50 is x=\frac{first \ term+ last \ term}{2}*# \ of \ terms=\frac{30+50}{2}*21=40*21=840;

The number of even integers from 30 to 50 is y=\frac{50-30}{2}+1=11 (check this: totally-basic-94862.html);

x+y=840+11=851.

Answer: E.


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Re: Number Properties Question   [#permalink] 19 Dec 2010, 15:31
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