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# If A, B, C, and D are all positive numbers, is the value of

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Senior Manager
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If A, B, C, and D are all positive numbers, is the value of [#permalink]

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15 Dec 2003, 12:18
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If A, B, C, and D are all positive numbers, is the value of A тАУ B greater than the value of C тАУ D?
(1) A + D = B + C
(2) A and B are each greater in value than either C or D.
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shubhangi

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15 Dec 2003, 12:22
A.

(1) A + D = B + C ...same as... A - B = C - D. Suff.
(2) Doesn't tell us anything about C and D related. Insuff.

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Director
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15 Dec 2003, 12:29
wonder_gmat wrote:
A.

(1) A + D = B + C ...same as... A - B = C - D. Suff.
(2) Doesn't tell us anything about C and D related. Insuff.

agree

B) A = 3 , B = 2 : A-B = 1
C=1, D=-99
C-D=100

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15 Dec 2003, 12:39
B tells us that each A nd B are greater so diff should be greater than C-D.is'nt??
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shubhangi

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15 Dec 2003, 12:44
shubhangi wrote:
B tells us that each A nd B are greater so diff should be greater than C-D.is'nt??

It only tells us that A and B are greater than either of C and D. But that doesn't mean the difference between A and B is greater than that bewteen C and D.

For example,
A = 10, B = 8, C = 5, D = 3
A - B = 10 - 8 = 2
C - D = 5 - 3 = 2

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15 Dec 2003, 12:44
shubhangi wrote:
B tells us that each A nd B are greater so diff should be greater than C-D.is'nt??

oops, I missed the "positive" part.

anyways, consider:
A=4, B=3
C=2, D=1 ans: equal...

or,
A=9, B=10
C=8, D=1 opposite...

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15 Dec 2003, 12:44
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