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# How many more men than women are there in the room ST 1there

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Manager
Joined: 05 Oct 2005
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How many more men than women are there in the room ST 1there [#permalink]

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23 Nov 2005, 14:43
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How many more men than women are there in the room

ST 1there is a total of 2o men and women in the room

ST 2 THE number of men in the room equal the square of the number of women in the room

plz can anyone explain me why st 2 is not sufficient

thanks !
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SVP
Joined: 28 May 2005
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23 Nov 2005, 15:02

16 men and 4 women. so the difference is 12.
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VP
Joined: 06 Jun 2004
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23 Nov 2005, 15:21

Let x = number of men
Let y = number of women

(1) x + y = 20. Insufficient
(2) x = y^2. y could be 36 or 16, etc. Insufficient

(1) + (2) y^2 + y = 20 ==> y^2 + y - 20 = 0 ==> y = -5 or 4

Since a person cannot be negative, y = 4 and x = 16

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Re: DS OG 137   [#permalink] 23 Nov 2005, 15:21
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