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# If n ­– k = m, what is the value of m? (1) k – 2 = m + k (2) k = n

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Re: If n ­– k = m, what is the value of m? (1) k – 2 = m + k (2) k = n [#permalink]
Bunuel wrote:
If n ­– k = m, what is the value of m?

(1) k – 2 = m + k
(2) k = n + 2

(1) k – 2 = m + k
=> m= -2
Sufficient

(2) k = n + 2
n- n-2 = m
=> m = -2
Sufficient

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Re: If n ­– k = m, what is the value of m? (1) k – 2 = m + k (2) k = n [#permalink]
Bunuel wrote:
If n ­– k = m, what is the value of m?

(1) k – 2 = m + k
(2) k = n + 2

1) m =-2
Sufficient.

2) n - n - 2 = m
=> m = -2.
Sufficient.

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Re: If n ­– k = m, what is the value of m? (1) k – 2 = m + k (2) k = n [#permalink]
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Bunuel wrote:
If n ­– k = m, what is the value of m?

(1) k – 2 = m + k
(2) k = n + 2

Target question: What is the value of m?

Given: n ­– k = m

Statement 1: k – 2 = m + k
Subtract k from both sides to get: -2 = m
DONE!
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: k = n + 2
Subtract 2 from both sides to get: k - 2 = n
Subtract k from both sides to get: -2 = n - k
Since it's given that n ­– k = m, we can take the equation -2 = n - k and REPLACE n - k with m
When we do this, we get: -2 = m
DONE!
Since we can answer the target question with certainty, statement 2 is SUFFICIENT