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

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

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06 Aug 2017, 07:46
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35% (medium)

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77% (00:50) correct 23% (01:35) wrong based on 39 sessions

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

(1) n < 0
(2) 3m + 7n = -7
[Reveal] Spoiler: OA

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

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

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06 Aug 2017, 08:02
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Expert's post
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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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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Re: If m/n = 7/4, what is the value of m + n ? [#permalink]

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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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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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