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Math Expert V
Joined: 02 Sep 2009
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If n + k = m, what is the value of k ?  [#permalink]

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11 00:00

Difficulty:   5% (low)

Question Stats: 77% (00:43) correct 23% (00:50) wrong based on 848 sessions

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

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

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Math Expert V
Joined: 02 Sep 2009
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If n + k = m, what is the value of k ?  [#permalink]

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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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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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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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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.

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

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_________________ Re: If n + k = m, what is the value of k ?   [#permalink] 10 Feb 2019, 14:25
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