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Ann, Bob, Chris, Dana, and Eric are different ages such that

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VP
Joined: 14 May 2006
Posts: 1418
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Kudos [?]: 58 [0], given: 0

Ann, Bob, Chris, Dana, and Eric are different ages such that [#permalink]  14 Jul 2006, 14:11
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Question Stats:

100% (05:53) correct 0% (00:00) wrong based on 1 sessions
Ann, Bob, Chris, Dana, and Eric are different ages such that their average age is 16. Bob is twice as old as Ann was three years ago. Eric is nine years younger than Bob. The sum of Chris and Ann's ages is equal to twice Dana's age. Dana is one year older than Ann. How old is Eric?

A) 13

B) 14

C) 15

D) 22

E) 23
Manager
Joined: 25 May 2006
Posts: 227
Followers: 1

Kudos [?]: 20 [0], given: 0

-A-

A+B+C+D+E=80 -(1)

B=2(A-3)
E=B-9
C+A=2D
D=A+1
----------------
A=A
B=2A-6
C=A+2
D=A+1
E=2A-15

A+2A-6+A+2+A+1+2A-15=80
A=14
E=13
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VP
Joined: 14 May 2006
Posts: 1418
Followers: 4

Kudos [?]: 58 [0], given: 0

OA is A... spent 5 min on this sucker
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