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

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07 Oct 2005, 07:21

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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?

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

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... ??
_________________

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.
_________________

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

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.