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

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If x is equal to the sum of the integers from 30 to 50, incl [#permalink]  19 Dec 2010, 15:14
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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]  19 Dec 2010, 15:31
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MasterGMAT12 wrote:

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.

 ! Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/Please post DS questions in the DS subforum: gmat-data-sufficiency-ds-141/No posting of PS/DS questions is allowed in the main Math forum.

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Re: If x is equal to the sum of the integers from 30 to 50, incl [#permalink]  01 Aug 2014, 18:23
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Re: If x is equal to the sum of the integers from 30 to 50, incl [#permalink]  28 Aug 2014, 08:54
I will use AP:

Sum = n/2[2a+(n-1)d) = 21/2[2*30+20*1] = 840 = sum from 30- 50
Number of even terms from 30 -50 are 11.
so total = 240+11 =251
Hope this helps
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Re: If x is equal to the sum of the integers from 30 to 50, incl   [#permalink] 28 Aug 2014, 08:54
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# If x is equal to the sum of the integers from 30 to 50, incl

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