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# If the sum of two different numbers, x and y, is 24 and x is the large

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Math Expert
Joined: 02 Sep 2009
Posts: 50061
If the sum of two different numbers, x and y, is 24 and x is the large  [#permalink]

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10 Mar 2017, 04:04
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91% (02:13) correct 9% (00:00) wrong based on 14 sessions

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If the sum of two different numbers, x and y, is 24 and x is the larger of the numbers, is the sum of the two numbers greater than the sum of x and a third number, c?

(1) –c > –y
(2) 46 > 2x + 2c + 22

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Re: If the sum of two different numbers, x and y, is 24 and x is the large  [#permalink]

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10 Mar 2017, 04:58
Bunuel wrote:
If the sum of two different numbers, x and y, is 24 and x is the larger of the numbers, is the sum of the two numbers greater than the sum of x and a third number, c?

(1) –c > –y
(2) 46 > 2x + 2c + 22

St I
–c > –y
c < y
c+x < x+y --------------Sufficient

St II
46 > 2x + 2c + 22
24 > 2x + 2c
12 > x + c
x + y = 24 >12 > x + c --------------Sufficient

Hence option D is correct
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Re: If the sum of two different numbers, x and y, is 24 and x is the large &nbs [#permalink] 10 Mar 2017, 04:58
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