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(1) m < n. No info about x. Not sufficient. (2) x >0. No info about m and n. Not sufficient.
(1)+(2) As from the above two statements nominators and denominator of both fractions are positive, we can crossmultiply --> is \(\frac{m+x}{n+x}>\frac{m}{n}\) --> is \((m+x)n>(n+x)m\) --> is \(mn+xn>mn+xm\) --> is \(x(n-m)>0\) --> as \(x>0\) and \(n>m\), then \(x(n-m)>0\) is true. Sufficient.
(1) m < n. No info about x. Not sufficient. (2) x >0. No info about m and n. Not sufficient.
(1)+(2) As from the above two statements nominators and denominator of both fractions are positive, we can crossmultiply --> is \(\frac{m+x}{n+x}>\frac{m}{n}\) --> is \((m+x)n>(n+x)m\) --> is \(mn+xn>mn+xm\) --> is \(x(n-m)>0\) --> as \(x>0\) and \(n>m\), then \(x(n-m)>0\) is true. Sufficient.
Answer: C.
Did you score 60 in the Quant or are you working with the GMAC!!!
Re: If m > 0 and n > 0, is (m+x)/(n+x) > m/n? [#permalink]
02 May 2014, 18:24
Hi Bunuel,
Why isn't the answer B given that in the below steps, (2) gives us the same information as in (1)?
(2) Because we know that both m and n are positive and that x is positive, we can safely cross-multiply. (m+x)*n > (n+x)*m mn + xn > mn + xm xn > xm n > m Because we now know that n > m, we can use the same steps that you used for C to answer the question and only (2) will be sufficient to answer the problem. Please tell me where I am going wrong here.
Re: If m > 0 and n > 0, is (m+x)/(n+x) > m/n? [#permalink]
03 May 2014, 03:50
Expert's post
TooLong150 wrote:
Hi Bunuel,
Why isn't the answer B given that in the below steps, (2) gives us the same information as in (1)?
(2) Because we know that both m and n are positive and that x is positive, we can safely cross-multiply. (m+x)*n > (n+x)*m mn + xn > mn + xm xn > xm n > m Because we now know that n > m, we can use the same steps that you used for C to answer the question and only (2) will be sufficient to answer the problem. Please tell me where I am going wrong here.
For (2) we don't know whether n>m.
The question asks whether (m+x)/(n+x) > m/n. For (2) when you simplify the question becomes is n>m? This is not given, that;s exactly what we need to find out.
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