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If m/n = 7/4, what is the value of m + n ?

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If m/n = 7/4, what is the value of m + n ? [#permalink]

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New post 06 Aug 2017, 07:46
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77% (00:50) correct 23% (01:35) wrong based on 39 sessions

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Re: If m/n = 7/4, what is the value of m + n ? [#permalink]

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New post 06 Aug 2017, 07:56
B

Solving B and given equation in the question gives me n = 4/7 and hence I get the value of m + n = 11/7

however as per statement 1 ] n < 0 which is not true - we get n as + ve

Should not the statements give one answer.B is actually contradicting the statement 2
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Bunuel wrote:
If m/n = 7/4, what is the value of m + n ?

(1) n < 0
(2) 3m + 7n = 7


If m/n is positive, then m and n are both positive or both negative. If, as Statement 1 tells us, n is negative, then m must also be negative. But in that case, 3m + 7n would be negative, so could not equal 7, so Statement 2 could not be true. So unless I'm missing something (a bit early in the morning for me! :) ) the statements seem to be inconsistent. I wonder if perhaps a negative sign is missing somewhere?
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Re: If m/n = 7/4, what is the value of m + n ? [#permalink]

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New post 06 Aug 2017, 08:15
Bunuel Can you please validate the both Statement? the statements seem to be inconsistent!!! Agree with IanStewart
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New post 06 Aug 2017, 08:54
IanStewart wrote:
Bunuel wrote:
If m/n = 7/4, what is the value of m + n ?

(1) n < 0
(2) 3m + 7n = 7


If m/n is positive, then m and n are both positive or both negative. If, as Statement 1 tells us, n is negative, then m must also be negative. But in that case, 3m + 7n would be negative, so could not equal 7, so Statement 2 could not be true. So unless I'm missing something (a bit early in the morning for me! :) ) the statements seem to be inconsistent. I wonder if perhaps a negative sign is missing somewhere?


Copy/paste error. Edited. Thank you.
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If m/n = 7/4, what is the value of m + n ? [#permalink]

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New post 06 Aug 2017, 09:17
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Bunuel wrote:
If m/n = 7/4, what is the value of m + n ?

(1) n < 0
(2) 3m + 7n = -7


the ratio of \(m:n = 7:4\). so let \(m = 7x\) & \(n = 4x\). we need to find \(m+n = 7x+4x = 11x\). we need the value of \(x\)

Statement 1: provides \(n\) is negative so \(m\) also has to be negative for the ratio to be positive. but we don't have any information to calculate the value of \(m\) or \(n\). Hence insufficient

Statement 2: substituting the value of \(m\) & \(n\) in the equation
\(3*7x +7*4x = -7\) or \(49x = -7\) or \(x = \frac{-1}{7}\) . hence sufficient

Option B

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If m/n = 7/4, what is the value of m + n ?   [#permalink] 06 Aug 2017, 09:17
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