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sum of the even integers from 40 to 60 inclusive [#permalink]
03 Jul 2009, 19:07

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Difficulty:

5% (low)

Question Stats:

50% (01:37) correct
50% (00:12) wrong based on 11 sessions

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? 550 551 560 561 572

Guys I applied the formula for "sum of consecutive evn nos." but i am going wrong somewhere.Pease help. y=11 x=sum of consecutive even integers=n(n+1) where n= 1st even+last even/2 -1

Therefore,here n=40+60/2-1=50-1=49 So,x=49 x 50 =2450 Hence, x+y=2450+11=2461??!??! _________________

Re: sum of the even integers from 40 to 60 inclusive [#permalink]
03 Jul 2009, 19:47

Step 1 (y) - No of even numbers from 40-60 = 11

Step 2 (x) - Sum of those 11 nos is given by the formula - (F+L)*N/2 F= 40 L = 60 N =11 Therefore ==> 550

x+y = 550+11 = 561

tejal777 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? 550 551 560 561 572

Guys I applied the formula for "sum of consecutive evn nos." but i am going wrong somewhere.Pease help. y=11 x=sum of consecutive even integers=n(n+1) where n= 1st even+last even/2 -1

Therefore,here n=40+60/2-1=50-1=49 So,x=49 x 50 =2450 Hence, x+y=2450+11=2461??!??!

_________________

If you have made mistakes, there is always another chance for you. You may have a fresh start any moment you choose, for this thing we call "failure" is not the falling down, but the staying down.

Re: sum of the even integers from 40 to 60 inclusive [#permalink]
07 Jul 2009, 02:57

thanks guys i got the answer but I still dont know where im going wrong!!am i following the formulae wrong??please refer to link below from where i got the formula:

Re: sum of the even integers from 40 to 60 inclusive [#permalink]
29 Mar 2011, 06:41

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This post received KUDOS

Another approach ('sum of pairs'): Step 1: 11 numbers Step 2: 40+60 = 42+58 = 100 (total 5 pairs, with exception of number 55 that does not have a pair) Step 3: 500 + 55 (the middle number with no pair)+ 11 = 561

Advantages: you don't need to know formulas nor you can make mistake in formulas