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OG2016 DS What is the value

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by lionsshare » Mon Aug 28, 2017 1:47 pm
What is the value of n in the equation - 25 + 19 + n = s ?

(1) s = 2
(2) n/s = 4

OA: D

Please, anyone can share the solution. Appreciate it.
Last edited by lionsshare on Mon Aug 28, 2017 3:43 pm, edited 1 time in total.
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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Mon Aug 28, 2017 2:02 pm
lionsshare wrote:What is the value of n in the equation -25 + 19 + n = s ?

(1) s = 2
(2) n/s = 4
Target question: What is the value of n?

Given: -25 + 19 + n = s
Since we're trying to find the value of n, let's solve the given equation for n

First, simplify left side to get: -6 + n = s
Add 6 to both sides to get: n = s + 6

Statement 1: s = 2
Great!
We already know that n = s + 6
If s = 2, we can say that n = 2 + 6
So, n = 8
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: n/s = 4
Multiply both sides by s to get: n = 4s
Divide both sides by 4 to get: n/4 = s
Now take n = s + 6 and replace s with n/4
When we do this we get: n = n/4 + 6
Multiply both sides by 4 to get: 4n = n + 24
Subtract n from both sides: 3n = 24
Solve: n = 8
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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