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What is the value of 1/a + 1/b + 1/c ?
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23 May 2020, 05:44
23 May 2020, 05:44
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What is the value of \(\frac{1}{a} + \frac{1}{b} + \frac{1}{c}\) ?
(1) \(a + b = \frac{5}{6}\)
(2) \(\frac{bc + ac + ab}{abc} = \frac{12}{13}\)
DS21203
(1) \(a + b = \frac{5}{6}\)
(2) \(\frac{bc + ac + ab}{abc} = \frac{12}{13}\)
DS21203
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Re: What is the value of 1/a + 1/b + 1/c ?
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23 May 2020, 05:49
23 May 2020, 05:49
Expert Reply
Bunuel wrote:
What is the value of \(\frac{1}{a} + \frac{1}{b} + \frac{1}{c}\) ?
(1) \(a + b = \frac{5}{6}\)
(2) \(\frac{bc + ac + ab}{abc} = \frac{12}{13}\)
PS21203
(1) \(a + b = \frac{5}{6}\)
(2) \(\frac{bc + ac + ab}{abc} = \frac{12}{13}\)
PS21203
Question: \(\frac{1}{a} + \frac{1}{b} + \frac{1}{c}\) = ?
Statement 1: \(a + b = \frac{5}{6}\)
No information about c hence
NOT SUFFICIENT
Statement 2: \(\frac{bc + ac + ab}{abc} = \frac{12}{13}\)
i.e. \(\frac{bc}{abc}+\frac{ac}{abc}+\frac{ab}{abc} = (1/a)+(1/b)+(1/c) = \frac{12}{13}\)
SUFFICIENT
Answer: Option B
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Re: What is the value of 1/a + 1/b + 1/c ?
[#permalink]
23 May 2020, 06:08
23 May 2020, 06:08
Bunuel wrote:
What is the value of \(\frac{1}{a} + \frac{1}{b} + \frac{1}{c}\) ?
(1) \(a + b = \frac{5}{6}\)
(2) \(\frac{bc + ac + ab}{abc} = \frac{12}{13}\)
PS21203
(1) \(a + b = \frac{5}{6}\)
(2) \(\frac{bc + ac + ab}{abc} = \frac{12}{13}\)
PS21203
statement 1: a+b = 5/6
clearly, not sufficient, as we cant solve two variable a and b with 1 equation
also, no information about c
statement 2 : \(\frac{bc + ac + ab}{abc} = \frac{12}{13}\)
the above equation can be written as
(bc/abc) + (ac/abc) + (ab/abc) = 12/13
or 1/a + 1/b + 1/c =12/13
and therefore, sufficient.
answer B
