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# If n + k = m, what is the value of k ?

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

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13 Aug 2012, 07:10
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If n + k = m, what is the value of k ?

(1) n = 10
(2) m + 10 = n

Practice Questions
Question: 17
Page: 276
Difficulty: 550
[Reveal] Spoiler: OA

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

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13 Aug 2012, 07:11
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SOLUTION

If n + k = m, what is the value of k ?

$$n + k = m$$ --> $$k=m-n=?$$

(1) n = 10 --> $$k=m-n=m-10$$. Not sufficient.

(2) m + 10 = n --> $$m-n=-10$$, so $$k=-10$$. Sufficient.

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

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13 Aug 2012, 08:12
IMO B
n+k=m, Find K
ie m-n = k
St 2: Sufficient: m+10=n ie m-n=-10=k
St 1: Insufficient. n=10, we don't know the value of either m or k
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Re: If n + k = m, what is the value of k ? [#permalink]

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13 Aug 2012, 08:49
it should be B. From B alone we can compute the value of K.
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If n + k = m, what is the value of k ? [#permalink]

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17 Aug 2012, 01:37
SOLUTION

If n + k = m, what is the value of k ?

$$n + k = m$$ --> $$k=m-n=?$$

(1) n = 10 --> $$k=m-n=m-10$$. Not sufficient.

(2) m + 10 = n --> $$m-n=-10$$, so $$k=-10$$. Sufficient.

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

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02 May 2013, 20:16
For Statement 1: N=10

10+K=M, (K&M, are too many #'s, NOT SUFF)

For Statement 2: M+10=N
-10 -10 (subtract -10 on each side)
M = N-10
-N -N (subtract N, to Isolate M & N)
M-N = -10 This is can be solved.

Statement 2: SUFF:

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

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18 Jun 2013, 00:54
Bunuel wrote:
If n + k = m, what is the value of k ?

(1) n = 10
(2) m + 10 = n

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Question: 17
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Difficulty: 550

logic only makes u a better thinker .... don't go by pure maths, have patience
substitute B in question

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

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23 Oct 2014, 06:37
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Bunuel wrote:
SOLUTION

If n + k = m, what is the value of k ?

$$n + k = m$$ --> $$k=m-n=?$$

(1) n = 10 --> $$k=m-n=m-10$$. Not sufficient.

(2) m + 10 = n --> $$m-n=10$$, so $$k=10$$. Sufficient.

Bunuel,
(2) m + 10 = n --> m-n=10, so k=10. Sufficient.
Why it isn't m+10=n --> m=n-10 --> m-n=-10?
Thanks!

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

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23 Oct 2014, 07:09
shohrat6383 wrote:
Bunuel wrote:
SOLUTION

If n + k = m, what is the value of k ?

$$n + k = m$$ --> $$k=m-n=?$$

(1) n = 10 --> $$k=m-n=m-10$$. Not sufficient.

(2) m + 10 = n --> $$m-n=10$$, so $$k=10$$. Sufficient.

Bunuel,
(2) m + 10 = n --> m-n=10, so k=10. Sufficient.
Why it isn't m+10=n --> m=n-10 --> m-n=-10?
Thanks!

It was a typo. Edited. Thank you.
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Re: If n + k = m, what is the value of k ? [#permalink]

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30 Jul 2016, 08:40
Bunuel wrote:
If n + k = m, what is the value of k ?

(1) n = 10
(2) m + 10 = n

We are given that n + k = m, and we need to determine the value of k. Since we know that n + k = m, we know that k = m – n. Thus, if we determine a value for m – n, we will know the value of k.

Statement One Alone:

n = 10

Although we know that n = 10, without knowing the value of m, we cannot determine the value of k. Statement one alone is not sufficient. We can eliminate answer choices A and D.

Statement Two Alone:

m + 10 = n

Manipulating statement two we get:

m + 10 = n

m – n = -10

Since we know that m – n = -10, we know that k = -10. Statement two alone is sufficient.

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Re: If n + k = m, what is the value of k ?   [#permalink] 30 Jul 2016, 08:40
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