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

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Senior Manager
Joined: 30 Aug 2003
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Location: dallas , tx
If A, B, C, and D are all positive numbers, is the value of [#permalink]

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14 Nov 2003, 11:42
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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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Joined: 26 Aug 2003
Posts: 233
Location: United States

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14 Nov 2003, 12:00
A.

(1) A + D = B + C ..... A - B = C - D. Sufficient.
(2) Doesn't tell us anything about C and D or the difference bewteen both sides of the equation. Insufficient.
Senior Manager
Joined: 30 Aug 2003
Posts: 322
Location: dallas , tx

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14 Nov 2003, 12:05
That was easy..but if we do it with numbers .. goes wrong..
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shubhangi

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Joined: 26 Aug 2003
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14 Nov 2003, 12:11
shubhangi wrote:
That was easy..but if we do it with numbers .. goes wrong..

OK, here:

A = 5, B = 3, D = 4, C = 6 .... pick values so that both sides of the equation are balanced as Statement (1) suggests.

A - B = C - D
-> 5 - 3 = 6 - 4
-> 2 = 2

What numbers did you pick?
Senior Manager
Joined: 30 Aug 2003
Posts: 322
Location: dallas , tx

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14 Nov 2003, 12:14
what if A<B.. then it will be negetive
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shubhangi

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Joined: 26 Aug 2003
Posts: 233
Location: United States

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14 Nov 2003, 12:19
shubhangi wrote:
what if A<B.. then it will be negetive

Then to balance out the equation, either C has to be negative as well or D has to be larger than C.
14 Nov 2003, 12:19
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