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# If a,b, and c are integers, what is the value of a? 1

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Manager
Joined: 02 Jul 2007
Posts: 112
Followers: 1

Kudos [?]: 2 [0], given: 0

If a,b, and c are integers, what is the value of a? 1 [#permalink]  02 Sep 2007, 09:51
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If a,b, and c are integers, what is the value of a?

1 (a-7)(b-7)(c-7)=0
2 bc=18

OA is C
I can't seem to figure out how knowing that bc=18 helps to solve this problem?
Director
Joined: 03 May 2007
Posts: 894
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 63 [0], given: 7

Re: DS, algebra [#permalink]  02 Sep 2007, 10:02
gnr646 wrote:
If a,b, and c are integers, what is the value of a?

1 (a-7)(b-7)(c-7)=0
2 bc=18

OA is C: I can't seem to figure out how knowing that bc=18 helps to solve this problem?

C. if bc = 18, none of them (b and c) is 7. so a = 7.
Manager
Joined: 02 Jul 2007
Posts: 112
Followers: 1

Kudos [?]: 2 [0], given: 0

Crap, I made the stupid thing more complicated than it was. Thanks for clarifying.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
Followers: 22

Kudos [?]: 184 [0], given: 0

St1:
If a = 7, b = 1, c = 8, then (a-7)(b-7)(c-7)=0 and a=7
If a = 10, b = 7, c = 10, then (a-7)(b-7)(c-7)=0 but a = 10
Insufficient.

St2:
bc = 18. a can be anything. Sufficient.

St1 and St2:
bc = 18. B and C can be anything except 7. So a must be 7 in order for (a-7)(b-7)(c-7)=0

Sufficient.

Ans C
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