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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]

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15 Apr 2006, 21:00
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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?
Manager
Joined: 09 Feb 2006
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16 Apr 2006, 06:17
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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16 Apr 2006, 06:58
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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16 Apr 2006, 07:20
http://www.gmatclub.com/phpbb/viewtopic ... gers+40+60
jcgoodchild well done!10x for explanation
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IE IMBA 2010

16 Apr 2006, 07:20
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