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If n + n = k+ k +k and n+k [#permalink]
Expert's post 00:00

Question Stats: 91% (00:53) correct 8% (01:37) wrong based on 37 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]
2
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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]
1
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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

Cheers,
Brent
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Re: If n + n = k+ k +k and n+k [#permalink]
1
KUDOS
Given: n + n = k + k + k
Simplify: 2 n = 3 k
More simplification: 2 X 3 = 3 X 2
So, n = 3 and k = 2
Given: n + k = 5
So, 3 + 2 = 5
Ans: B Re: If n + n = k+ k +k and n+k   [#permalink] 05 Feb 2020, 00:13
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