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Math Expert V
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What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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Question Stats: 82% (00:48) correct 18% (00:53) wrong based on 816 sessions

### HideShow timer Statistics What is the value of n in the equation: - 25 + 19 + n = s ?

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

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Question: 60
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Originally posted by Bunuel on 08 Oct 2012, 02:55.
Last edited by adkikani on 24 Mar 2018, 23:36, edited 3 times in total.
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Math Expert V
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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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SOLUTION

What is the value of n in the equation - 25 + 19 + n = s ?

(1) s = 2 --> - 25 + 19 + n = 2. We have a linear equation with one unknown, hence we can solve for it. Sufficient.
(2) n/s = 4 --> s=n/4 --> - 25 + 19 + n = n/4. We have a linear equation with one unknown, hence we can solve for it. Sufficient.

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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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St 1: Sufficient: Substitute S=2 in 25+19+n=2, Value of n can be found out from this linear equation.
St 2: Sufficient: Substitute s=n/4 in 25+19+n=n/4, Value of n can be found out from this linear equation.

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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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Reducing Stem we get
n = s + 6
1) s=2--> n=8 ---> Sufficient
2) s=n/4 --->Sufficient

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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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IMO D..
each statement alone is sufficient
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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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What is the value of n in the equation - 25 + 19 + n = s ?

If we have s known then, we can easily find n.

(1) s = 2--------sufficient
(2) n/s = 4
=> s=n/4------sufficient

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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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SOLUTION

What is the value of n in the equation - 25 + 19 + n = s ?

(1) s = 2 --> - 25 + 19 + n = 2. We have a linear equation with one unknown, hence we can solve for it. Sufficient.
(2) n/s = 4 --> s=n/4 --> - 25 + 19 + n = n/4. We have a linear equation with one unknown, hence we can solve for it. Sufficient.

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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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Bunuel wrote:
SOLUTION

What is the value of n in the equation - 25 + 19 + n = s ?

(1) s = 2 --> - 25 + 19 + n = 2. We have a linear equation with one unknown, hence we can solve for it. Sufficient.
(2) n/s = 4 --> s=n/4 --> - 25 + 19 + n = n/4. We have a linear equation with one unknown, hence we can solve for it. Sufficient.

Kudos points given to everyone with correct solution. Let me know if I missed someone.

D straight Bunuel but could someone think about n/s=4 that n and s can be both positive or negative ?? 16/4 = 4 or -16/-4 = 4 so is not safely to cross multiply S ?? or this concern regards questions in which < or > are involved ??'

Thanks
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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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carcass wrote:
Bunuel wrote:
SOLUTION

What is the value of n in the equation - 25 + 19 + n = s ?

(1) s = 2 --> - 25 + 19 + n = 2. We have a linear equation with one unknown, hence we can solve for it. Sufficient.
(2) n/s = 4 --> s=n/4 --> - 25 + 19 + n = n/4. We have a linear equation with one unknown, hence we can solve for it. Sufficient.

Kudos points given to everyone with correct solution. Let me know if I missed someone.

D straight Bunuel but could someone think about n/s=4 that n and s can be both positive or negative ?? 16/4 = 4 or -16/-4 = 4 so is not safely to cross multiply S ?? or this concern regards questions in which < or > are involved ??'

Thanks

You should be concerned about the signs only with inequalities. For equations you can safely cross-multiply.
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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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1)n-6=2 .. sufficient
2)n/4=s or,n-6=n/4 -- sufficient. so answer is D
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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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hello, for statement (2), what if

n=4 and s=1

then -25 + 19 + 4 = -2
but s=1 NOT GOOD

also consider if n=8 and s=2

then -25 + 19 + 8 = 2
and s = 2 GOOD

since it is possible to pick different sets of numbers that yield conflicting answers, shouldn't this statement alone be insufficient? (refer to OG13 DS#41 for comparison)
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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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chekitsch wrote:
hello, for statement (2), what if

n=4 and s=1

then -25 + 19 + 4 = -2
but s=1 NOT GOOD

also consider if n=8 and s=2

then -25 + 19 + 8 = 2
and s = 2 GOOD

since it is possible to pick different sets of numbers that yield conflicting answers, shouldn't this statement alone be insufficient? (refer to OG13 DS#41 for comparison)

n=4 and s=1 do not satisfy - 25+19+n=s.

We have two equations: - 25+19+n=s and n/s=4. Solving gives n=8 and s=2.
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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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fameatop wrote:
Reducing Stem we get
n = s + 6
1) s=2--> n=8 ---> Sufficient
2) s=n/4 --->Sufficient

For the second statement: I know I should stop after knowing that it's a linear-with one unknown, I'm rusty on my math, how does this become

I get this, N/S=4
S=4N (multiply each side)
(lost in this step) I did the following
N=S+6
N=4N+6
-3N=6
3 3
N=-2, (should be positive)

Not sure how I got a negative, I guessed correctly, the second time i worked the problem. I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. thanks.
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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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selfishmofo wrote:
fameatop wrote:
Reducing Stem we get
n = s + 6
1) s=2--> n=8 ---> Sufficient
2) s=n/4 --->Sufficient

For the second statement: I know I should stop after knowing that it's a linear-with one unknown, I'm rusty on my math, how does this become

I get this, N/S=4
S=4N (multiply each side)
(lost in this step) I did the following
N=S+6
N=4N+6
-3N=6
3 3
N=-2, (should be positive)

Not sure how I got a negative, I guessed correctly, the second time i worked the problem. I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. thanks.

Not sure I understand everything in your post but n/s = 4 means n = 4s (multiply both sides by s) not s = 4n.

Hope it helps.
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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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Bunuel wrote:
selfishmofo wrote:
fameatop wrote:
Reducing Stem we get
n = s + 6
1) s=2--> n=8 ---> Sufficient
2) s=n/4 --->Sufficient

For the second statement: I know I should stop after knowing that it's a linear-with one unknown, I'm rusty on my math, how does this become

I get this, N/S=4
S=4N (multiply each side)
(lost in this step) I did the following
N=S+6
N=4N+6
-3N=6
3 3
N=-2, (should be positive)

Not sure how I got a negative, I guessed correctly, the second time i worked the problem. I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. thanks.

Not sure I understand everything in your post but n/s = 4 means n = 4s (multiply both sides by s) not s = 4n.

Hope it helps.

I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. Thank you for the other concept, I missed that small detail in trying to explain the problem.
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Posts: 56304
Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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selfishmofo wrote:
Bunuel wrote:
selfishmofo wrote:

For the second statement: I know I should stop after knowing that it's a linear-with one unknown, I'm rusty on my math, how does this become

I get this, N/S=4
S=4N (multiply each side)
(lost in this step) I did the following
N=S+6
N=4N+6
-3N=6
3 3
N=-2, (should be positive)

Not sure how I got a negative, I guessed correctly, the second time i worked the problem. I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. thanks.

Not sure I understand everything in your post but n/s = 4 means n = 4s (multiply both sides by s) not s = 4n.

Hope it helps.

I'm not sure how the MGMAT guide states that the number becomes S=1/4N, maybe so it's not negative, it's placed with a fraction? Can someone refresh me with that concept. Thank you for the other concept, I missed that small detail in trying to explain the problem.

$$n = 4s$$ --> $$s = \frac{n}{4}$$ or $$\frac{1}{4}*n$$ (it's not $$\frac{1}{4n}$$).
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Re: What is the value of n in the equation - 25 + 19 + n = S ?  [#permalink]

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Top Contributor
Bunuel wrote:
What is the value of n in the equation: - 25 + 19 + n = s ?

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

Given: -25 + 19 + n = s
Simplify: -6 + n = s
Add 6 to both sides to get: n = s + 6

Target question: What is the value of n?

Statement 1: s = 2
We already know that n = s + 6
Replace s with 2 to get: n = 2 + 6 = 8
The answer to the target question is 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

We already know that n = s + 6
Replace s with s with n/4 to get: n = n/4 + 6
Multiply both sides by 4 to get: 4n = n + 24
Subtract n from both sides to get: 3n = 24
Solve, n = 8
The answer to the target question is n = 8
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
_________________ Re: What is the value of n in the equation - 25 + 19 + n = S ?   [#permalink] 06 Jul 2019, 07:29
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