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# data sufficiency question

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Intern
Joined: 20 Oct 2012
Posts: 2

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08 Nov 2012, 22:25
If sum of 3 different numbers is 54, which one is the largest number

1) Largest is 2 times smallest number
2) Sum of 2 numbers is 30

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Manager
Joined: 02 Nov 2012
Posts: 95

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Location: India
Concentration: Entrepreneurship, Strategy
WE: Other (Computer Software)

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09 Nov 2012, 03:37
bmb19762002 wrote:
If sum of 3 different numbers is 54, which one is the largest number

1) Largest is 2 times smallest number
2) Sum of 2 numbers is 30

Considering only 1), possible solutions are [11,21,22], [12,18,24] and [13,15,26].
Therefore, 1) alone is insufficient. Eliminate choices A and D.

Considering only 2), possible solutions are [10,20,24], [1,29,24], ....
Therefore, 2) alone is insufficient. Eliminate B.

Consider 1) and 2), [12,18,24] is the only one that satisfies both the conditions (12*2=24 and 12+18=30).

Please correct me if there is something wrong.
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TH

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Re: data sufficiency question   [#permalink] 09 Nov 2012, 03:37
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