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If x is positive, what is the value of y ?

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If x is positive, what is the value of y ?  [#permalink]

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New post 23 May 2018, 17:40
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If x is positive, what is the value of y ?

(1) 5x = 15
(2) xy + y = 18

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If x is positive, what is the value of y ?  [#permalink]

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New post 23 May 2018, 20:56
1
If x is positive, what is the value of y ?

(1) 5x = 15 --> x = 3. We know nothing about y. Not sufficient.#

(2) xy + y = 18. Infinitely many pairs of (x, y) satisfy this. For example, x = 1 and y = 9; x = 2 and y = 6; ... Not sufficient.

(1)+(2) Since x = 3 from (1), then y = 18/4 from (2). Sufficient.

Answer: C.

P.S. Is this a new question from GMAT Prep?
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Re: If x is positive, what is the value of y ?  [#permalink]

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New post 24 May 2018, 00:27
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Bunuel

Yes, this is from New Gmat prep version.
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Re: If x is positive, what is the value of y ?  [#permalink]

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New post 05 Jun 2018, 11:06
When you plug 3 back into 3y + y = 18, why does it not equal 18? I got the question right on my mock, I just want to keep from getting confused. Is it just the fact that we COULD solve for y?
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Re: If x is positive, what is the value of y ?  [#permalink]

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New post 05 Jun 2018, 20:02
1
tripledown wrote:
When you plug 3 back into 3y + y = 18, why does it not equal 18? I got the question right on my mock, I just want to keep from getting confused. Is it just the fact that we COULD solve for y?


Hello

Yes, its the fact that we can solve for y and get a unique value of y - that combined the two statements are sufficient to answer the question. Thats why the answer is C.
Value of y is immaterial but still: 3y+y = 18 means y = 18/4.
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Re: If x is positive, what is the value of y ?  [#permalink]

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New post 04 Sep 2018, 23:52
Bunuel wrote:
If x is positive, what is the value of y ?

(1) 5x = 15 --> x = 3. We know nothing about y. Not sufficient.#

(2) xy + y = 18. Infinitely many pairs of (x, y) satisfy this. For example, x = 1 and y = 9; x = 2 and y = 6; ... Not sufficient.

(1)+(2) Since x = 3 from (1), then y = 3 from (2). Sufficient.

Answer: C.

P.S. Is this a new question from GMAT Prep?


Hi Bunuel,
I am getting a different answer for y. Can you help me understand why
x= 3
the y(x+1)=18
then
y(4)=18
then y= \(\frac{18}{4}\)
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Joined: 02 Sep 2009
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Re: If x is positive, what is the value of y ?  [#permalink]

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New post 04 Sep 2018, 23:56
Probus wrote:
Bunuel wrote:
If x is positive, what is the value of y ?

(1) 5x = 15 --> x = 3. We know nothing about y. Not sufficient.#

(2) xy + y = 18. Infinitely many pairs of (x, y) satisfy this. For example, x = 1 and y = 9; x = 2 and y = 6; ... Not sufficient.

(1)+(2) Since x = 3 from (1), then y = 3 from (2). Sufficient.

Answer: C.

P.S. Is this a new question from GMAT Prep?


Hi Bunuel,
I am getting a different answer for y. Can you help me understand why
x= 3
the y(x+1)=18
then
y(4)=18
then y= \(\frac{18}{4}\)


Yes, you are right. Edited the typo. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If x is positive, what is the value of y ? &nbs [#permalink] 04 Sep 2018, 23:56
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