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If d-3n/7n-d=1

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If d-3n/7n-d=1 [#permalink] New post 29 Dec 2016, 09:19
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75% (00:48) correct 25% (01:40) wrong based on 8 sessions
If \(\frac{d-3n}{7n-d}=1\), which of the following must be true about the relationship between d and n ?

(A) n is 4 more than d

(B) d is 4 more than n

(C) n is \(\frac{7}{3}\) of d

(D) d is 5 times n

(E) d is 2 times n
[Reveal] Spoiler: OA

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Re: If d-3n/7n-d=1 [#permalink] New post 29 Sep 2017, 06:53
The idea here is to solve the equation until we get d on one side of the equal sign and n on the other.

Then, \(\frac{d-3n}{7n-d}-1=0\). Taking the MCM, we get \(\frac{d-3n-7n+d}{7n-d}=0\). Getting rid of the deniminator and simplyfing we get \(d=5n\). Thus, d is 5 times n.

Answer D!
Re: If d-3n/7n-d=1   [#permalink] 29 Sep 2017, 06:53
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