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3a/a-2b=2
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26 May 2020, 10:49
26 May 2020, 10:49
Expert Reply
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Question Stats:
62% (01:40) correct
37% (01:20) wrong based on 91 sessions
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\(\frac{3a}{a-2b}=2\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(\frac{4a-2b}{a-2b }\) |
\(a+4b\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: 3a/a-2b=2
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26 May 2020, 10:50
26 May 2020, 10:50
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Re: 3a/a-2b=2
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26 May 2020, 15:33
26 May 2020, 15:33
1
given,
3a/ ( a-2b ) = 2 = 6 /3
so, 3a = 6 .... a = 2
and a - 2b = 3
2-2b= 3
-2b = 1
b= -1/2
substituting the values of a and b in the comparison we get,
A = 4a-2b / ( a-2b) = ( 4x2 - (2x -1/2) )/ 3 = ( 8 +1) / 3 = 3
and
B = a + 4b = 2 + (4 x (-1/2) ) = 2 -2 = 0
Hence A > B ( option A)
3a/ ( a-2b ) = 2 = 6 /3
so, 3a = 6 .... a = 2
and a - 2b = 3
2-2b= 3
-2b = 1
b= -1/2
substituting the values of a and b in the comparison we get,
A = 4a-2b / ( a-2b) = ( 4x2 - (2x -1/2) )/ 3 = ( 8 +1) / 3 = 3
and
B = a + 4b = 2 + (4 x (-1/2) ) = 2 -2 = 0
Hence A > B ( option A)
