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If n + n = k+ k +k and n+k

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If n + n = k+ k +k and n+k [#permalink] New post 27 Jun 2018, 08:19
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Question Stats:

88% (00:42) correct 11% (02:34) wrong based on 9 sessions
If \(n + n = k+ k + k\) and \(n+k = 5\), the \(n =\)

A. 2

B. 3

C. 5

D. 6

E. 9
[Reveal] Spoiler: OA

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Re: If n + n = k+ k +k and n+k [#permalink] New post 29 Jun 2018, 04:55
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Carcass wrote:
If \(n + n = k+ k + k\) and \(n+k = 5\), the \(n =\)

A. 2

B. 3

C. 5

D. 6

E. 9



Since n + n + n = k + k + k

or \(2n = 3k\)

or\(k\) = \(\frac{2}{3}* n\)

Since \(n + k =5\)

or \(n +\frac{2}{3}* n = 5\)

or \(5n = 15\)

or\(n =3\)
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Re: If n + n = k+ k +k and n+k [#permalink] New post 29 Apr 2019, 11:28
Expert's post
Carcass wrote:
If \(n + n = k+ k + k\) and \(n+k = 5\), the \(n =\)

A. 2
B. 3
C. 5
D. 6
E. 9


ALTERNATE SOLUTION:

Given: n + n = k + k + k
Simplify: 2n = 3k

Given: n + k = 5
Solve for k to get: k = 5 - n

Now take 2n = 3k and replace k with 5 - n
We get: 2n = 3(5 - n)
Expand: 2n = 15 - 3n
Add 3n to both sides: 5n = 15
Solve: n = 15/5 = 3

Answer: B

Cheers,
Brent
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Re: If n + n = k+ k +k and n+k   [#permalink] 29 Apr 2019, 11:28
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