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What will be the value of a/b ? Given that a and b are

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What will be the value of a/b ? Given that a and b are [#permalink] New post   19 May 2012, 08:56
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What will be the value of a/b ? Given that a and b are positive integers.

(1) a^2 – b^2 = 169
(2) a – b = 1
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Bunuel
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Re: What will be the value of a/b ? Given that a and b are [#permalink] New post   20 May 2012, 11:12
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What will be the value of a/b ? Given that a and b are positive integers.

(1) a^2 – b^2 = 169 --> since given that \(a\) and \(b\) are positive integers then \(a>b\). Next, \(a^2-b^2=(a-b)(a+b)=169=1*169=13*13\) --> again as \(a\) and \(b\) are positive integers and \(a>b\) then \(a-b=1\) and \(a+b=169\) --> \(a=85\) and \(b=84\) --> \(\frac{a}{b}=\frac{85}{84}\). Sufficient.

(2) a – b = 1. Clearly insufficient.

Answer: A.
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Re: What will be the value of a/b ? Given that a and b are [#permalink] New post   Updated on: 22 May 2012, 11:01
Bunuel wrote:
What will be the value of a/b ? Given that a and b are positive integers.

(1) a^2 – b^2 = 169 --> since given that \(a\) and \(b\) are positive integers then \(a>b\). Next, \(a^2-b^2=(a-b)(a+b)=169=1*169=13*13\) --> again as \(a\) and \(b\) are positive integers and \(a>b\) then \(a-b=1\) and \(a+b=169\) --> \(a=85\) and \(b=84\) --> \(\frac{a}{b}=\frac{85}{84}\). Sufficient.

(2) a – b = 1. Clearly insufficient.

Answer: A.


good one... got it, but it is trickey

Originally posted by vikram4689 on 22 May 2012, 09:13.
Last edited by vikram4689 on 22 May 2012, 11:01, edited 1 time in total.
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Re: What will be the value of a/b ? Given that a and b are [#permalink] New post   22 May 2012, 09:28
Bunuel wrote:
What will be the value of a/b ? Given that a and b are positive integers.

(1) a^2 – b^2 = 169 --> since given that \(a\) and \(b\) are positive integers then \(a>b\). Next, \(a^2-b^2=(a-b)(a+b)=169=1*169=13*13\) --> again as \(a\) and \(b\) are positive integers and \(a>b\) then \(a-b=1\) and \(a+b=169\) --> \(a=85\) and \(b=84\) --> \(\frac{a}{b}=\frac{85}{84}\). Sufficient.

(2) a – b = 1. Clearly insufficient.

Answer: A.


i did not read the meaning of a>b and hence missed this problem...kudos Bunuel
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Re: What will be the value of a/b ? Given that a and b are [#permalink] New post   14 Sep 2020, 21:56
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Re: What will be the value of a/b ? Given that a and b are [#permalink]
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