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

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Manager
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If x is equal to the sum of the even integers from 40 to 60, [#permalink] New post 15 Apr 2006, 20:00
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If x is equal to the sum of the 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 x + y?
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 [#permalink] New post 16 Apr 2006, 05:17
If x is equal to the sum of the 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 x + y?

To get the sum of even integers, we first need to find how many there are, which is defined as y.

60-40 = 20 / 2 = 10 + 1 = 11. There are 11 even integers from 40 to 60 inclusive.

Now let's find their sum, which we can do by multiplying the average by the number of integers. The average is 50. Therefore, their sum is 550.

x + y = 561
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Re: PS [#permalink] New post 16 Apr 2006, 05:58
Matador wrote:
If x is equal to the sum of the 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 x + y?


Sn = n/2[2a+ (n-1)d]

= 10/2[2*40 + (20-1)2]
= 5[80+38] = 590

But twice the number =1180
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 [#permalink] New post 16 Apr 2006, 06:20
http://www.gmatclub.com/phpbb/viewtopic ... gers+40+60
good discussion here follow the link!
jcgoodchild well done!10x for explanation
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  [#permalink] 16 Apr 2006, 06:20
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If x is equal to the sum of the even integers from 40 to 60,

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