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## OG2015 DS If n + k = m

This topic has 1 expert reply and 0 member replies
lionsshare Senior | Next Rank: 100 Posts
Joined
09 Aug 2017
Posted:
62 messages

#### OG2015 DS If n + k = m

Sat Sep 16, 2017 2:13 am
If n + k = m, what is the value of k?

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

OA: B

Please, anyone, share the solution to this problem. Thank you.

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
976 messages
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Sat Sep 16, 2017 3:16 am
lionsshare wrote:
If n + k = m, what is the value of k?

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

OA: B

Please, anyone, share the solution to this problem. Thank you.
Statement 1: n = 10

By plugging in the value of n = 10 in the equation n + k = m, we get 10 + k = m. Thus, k = m - 10. But we do not know the value of m, so we cannot get the value of k. Insufficient.

Statement 2: m + 10 = n

=> 10 = n - m; by transposing m to LHS

Since from the given equation n + k = m, we get m - n = k, thus, k = 10. Sufficient.

Hope this helps!

-Jay
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