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a/b=3/4
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25 Dec 2018, 15:19
25 Dec 2018, 15:19
Expert Reply
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Question Stats:
64% (01:11) correct
35% (01:04) wrong based on 89 sessions
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\(\frac{a}{b}=\frac{3}{4}\)
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 |
\(\frac{2a-b}{b}\) |
\(\frac{a}{a+b}\) |
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: a/b=3/4
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25 Mar 2020, 15:48
25 Mar 2020, 15:48
1
Expert Reply
For the two terms: on the LHS and on the RHS for being equal they must be an integer.
We can cross multiply
\(4a=3b\)
This means that a is a multiple of 3 and b is a multiple of 4. The two quantities must balance
As such, \(b = 4\) and \(a =3\).
Then \(\frac{2a-b}{b}=\frac{a}{a+b}\)
Substitute
\(\frac{6-4}{4}=\frac{3}{4+3}\)
\(\frac{2}{4}=\frac{3}{7}\)
\(\frac{2}{4} > \frac{3}{7
}\)
A is the answer
We can cross multiply
\(4a=3b\)
This means that a is a multiple of 3 and b is a multiple of 4. The two quantities must balance
As such, \(b = 4\) and \(a =3\).
Then \(\frac{2a-b}{b}=\frac{a}{a+b}\)
Substitute
\(\frac{6-4}{4}=\frac{3}{4+3}\)
\(\frac{2}{4}=\frac{3}{7}\)
\(\frac{2}{4} > \frac{3}{7
}\)
A is the answer
Re: a/b=3/4
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15 Sep 2024, 02:59
15 Sep 2024, 02:59
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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