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# What is the mean of four consecutive even integers a , b , c

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Director
Joined: 01 Apr 2008
Posts: 881
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Followers: 30

Kudos [?]: 707 [0], given: 18

What is the mean of four consecutive even integers a , b , c [#permalink]

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24 Sep 2009, 08:43
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Difficulty:

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Question Stats:

100% (02:18) correct 0% (00:00) wrong based on 1 sessions

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What is the mean of four consecutive even integers $$a$$ , $$b$$ , $$c$$ , $$d$$ ?

1. $$a + d = b + c$$
2. $$b + c = d - a$$
Manager
Joined: 25 Mar 2009
Posts: 54
Followers: 1

Kudos [?]: 18 [1] , given: 9

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24 Sep 2009, 09:59
1
KUDOS
Economist wrote:
What is the mean of four consecutive even integers $$a$$ , $$b$$ , $$c$$ , $$d$$ ?

1. $$a + d = b + c$$
2. $$b + c = d - a$$

a=2n, b=2n+2, c=2n+4, d=2n+6
1. a+d=b+c (always) insuff

2. b+c=d-a
=>(2n+2)+(2n+4)=(2n+6)-2n
=>4n+6=6
=>n=0
a=2, b=4, c=6, d=8
Mean=(2+4+6+8)/4=5, suff

B
Re: m18 14   [#permalink] 24 Sep 2009, 09:59
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