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# If the sum of four consecutive even integers is 44, what is the value

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
If the sum of four consecutive even integers is 44, what is the value  [#permalink]

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23 Jan 2019, 02:21
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71% (01:08) correct 29% (01:07) wrong based on 63 sessions

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If the sum of four consecutive even integers is 44, what is the value of the second-largest integer in the set?

A 10
B 12
C 14
D 16
E 18

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Re: If the sum of four consecutive even integers is 44, what is the value  [#permalink]

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23 Jan 2019, 02:22
Let the consecutive integers be x-2, x-1, x+1 and x+2.
Sum of these numbers = 44
4x = 44
x = 11
Second largest = x+1 = 12

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Re: If the sum of four consecutive even integers is 44, what is the value  [#permalink]

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23 Jan 2019, 04:33
Sum of four consecutive even integers is 44
Use 2x to ensure it is even (as opposed to x which could be odd). Add 2 each time as they are even integers.

2x+(2x+2)+(2x+4)+(2x+6)=44
8x+12=44
x=4

second-largest integer
2x+4
2(4)+4=12=B
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Re: If the sum of four consecutive even integers is 44, what is the value  [#permalink]

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23 Jan 2019, 07:29
1
Bunuel wrote:
If the sum of four consecutive even integers is 44, what is the value of the second-largest integer in the set?

A 10
B 12
C 14
D 16
E 18

x + x+2 +x+4 + x+6 = 44
4x+12= 44
x= 8

second largest intger ; 8+4 ; 12 IMO B
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Re: If the sum of four consecutive even integers is 44, what is the value  [#permalink]

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23 Jan 2019, 18:54
What I have calculated for second largest term is 12. Explanation below.
44= mean*n
n=4
mean= 11
but here 4 even consecutive no.
therefore series will be, 8, 10, 12, 14.

Second largest term is =12 -B is correct choice.

Bunuel wrote:
If the sum of four consecutive even integers is 44, what is the value of the second-largest integer in the set?

A 10
B 12
C 14
D 16
E 18
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Re: If the sum of four consecutive even integers is 44, what is the value  [#permalink]

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27 Jan 2019, 19:22
Bunuel wrote:
If the sum of four consecutive even integers is 44, what is the value of the second-largest integer in the set?

A 10
B 12
C 14
D 16
E 18

If we let x = the first even integer, then the second even integer in the set is (x + 2), and so forth. We can create the equation:

x + (x + 2) + (x + 4) + (x + 6) = 44

4x + 12 = 44

4x = 32

x = 8

So the second largest integer in the set is (x + 4), or 8 + 4 = 12.

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Re: If the sum of four consecutive even integers is 44, what is the value   [#permalink] 27 Jan 2019, 19:22
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