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If A, B, C, and D are all positive numbers, is the value of [#permalink]
 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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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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VP
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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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B tells us that each A nd B are greater so diff should be greater than C-D.is'nt??
Answer is A though
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shubhangi
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shubhangi wrote: B tells us that each A nd B are greater so diff should be greater than C-D.is'nt??
Answer is A though
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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VP
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shubhangi wrote: B tells us that each A nd B are greater so diff should be greater than C-D.is'nt??
Answer is A though
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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