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If x is equal to the sum of even integers from 40 to 60,

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If x is equal to the sum of even integers from 40 to 60, [#permalink]

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New post 07 Oct 2005, 07:21
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x is equal to the sum of even integers from 40 to 60, inclusive, and y is the number of even integers from 40 to 60, inclusive, what is the value of y?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

Please explain your answer.
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New post 07 Oct 2005, 07:30
2+4+6+8= 20 x2

40 + 40 + 40 + 40+ 40 = 200

50 + 50 + 50 + 50 + 50 = 250

60

40+ 200+ 250+ 60= 550
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Re: Calculating Integers [#permalink]

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New post 07 Oct 2005, 07:37
étudiant wrote:
If x is equal to the sum of even integers from 40 to 60, inclusive, and y is the number of even integers from 40 to 60, inclusive, what is the value of y?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

Please explain your answer.


When you're writing ... y is the number... I suppose you're meaning the SUM, right!?

If y would be the sum of all even integers, it would be according to Gauss:

y = (First summand + last summand) / (Half of the number of summands)
= (40 + 60) / (11/2) = 550 -> A

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Re: Calculating Integers [#permalink]

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New post 07 Oct 2005, 09:29
lazy_k wrote:
When you're writing ... y is the number... I suppose you're meaning the SUM, right!?

If y would be the sum of all even integers, it would be according to Gauss:

y = (First summand + last summand) / (Half of the number of summands)
= (40 + 60) / (11/2) = 550 -> A


You reminded me the school story of our friend Gauss where he had to sum 1-100 :)

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Re: Calculating Integers [#permalink]

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New post 07 Oct 2005, 12:43
étudiant wrote:
If x is equal to the sum of even integers from 40 to 60, inclusive, and y is the number of even integers from 40 to 60, inclusive, what is the value of y?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

Please explain your answer.


I agree with ranga41... is there something missing in this question or a typo?

If its sum... lazy_k is on the money with the solution!

we are asked to find the "number of even integers" or y between 40 and 60 which would be 11... ??
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Re: Calculating Integers [#permalink]

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New post 07 Oct 2005, 19:23
vikramm wrote:
étudiant wrote:
If x is equal to the sum of even integers from 40 to 60, inclusive, and y is the number of even integers from 40 to 60, inclusive, what is the value of y?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

Please explain your answer.


I agree with ranga41... is there something missing in this question or a typo?

If its sum... lazy_k is on the money with the solution!

we are asked to find the "number of even integers" or y between 40 and 60 which would be 11... ??


It is a typo. It suppose to be "what is the value of x + y?" Sorry.
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New post 09 Oct 2005, 04:26
am getting D..now

whats the OA

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New post 10 Oct 2005, 04:12
OA is D

Please explain this answer. Thanks
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Re: Calculating Integers [#permalink]

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New post 10 Oct 2005, 05:05
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étudiant wrote:
vikramm wrote:
étudiant wrote:
If x is equal to the sum of even integers from 40 to 60, inclusive, and y is the number of even integers from 40 to 60, inclusive, what is the value of y?

(A) 550
(B) 551
(C) 560
(D) 561
(E) 572

Please explain your answer.


I agree with ranga41... is there something missing in this question or a typo?

If its sum... lazy_k is on the money with the solution!

we are asked to find the "number of even integers" or y between 40 and 60 which would be 11... ??


It is a typo. It suppose to be "what is the value of x + y?" Sorry.


This is an AP with the first tem as 40 and last term as 60 and there are 11 terms between 40 and 60 with a difference of 2, so sum of these terms is
s = (n/2) (a + l) = (11/2) (40 + 60) = 550 = X
Y = number of terms = 11
so the answer is 561

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New post 10 Oct 2005, 07:00
The sum of all the even numbers between 40 and 60, both included, is 550. The number of even numbers is 11. Therefore, x+y is 561 and the correct answer is D.

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Re: If x is equal to the sum of even integers from 40 to 60, [#permalink]

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Re: If x is equal to the sum of even integers from 40 to 60,   [#permalink] 12 Nov 2017, 05:31
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