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What is the value of x? (1) 3 + x + y = 14 and 2x + y = 15 (2) 3x + 2

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What is the value of x? (1) 3 + x + y = 14 and 2x + y = 15 (2) 3x + 2  [#permalink]

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New post Updated on: 09 Jan 2019, 02:02
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Question Stats:

85% (00:37) correct 15% (00:57) wrong based on 130 sessions

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Project DS Butler: Day 17: Data Sufficiency (33)


For DS butler Questions Click Here


What is the value of x?

(1) 3 + x + y = 14 and 2x + y = 15
(2) 3x + 2y = 12 + 2y

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Originally posted by adkikani on 22 Nov 2018, 09:06.
Last edited by Bunuel on 09 Jan 2019, 02:02, edited 1 time in total.
Renamed the topic and edited the question.
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Re: What is the value of x? (1) 3 + x + y = 14 and 2x + y = 15 (2) 3x + 2  [#permalink]

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New post 22 Nov 2018, 09:32
(1) 3 + x + y = 14 can be written as x + y = 11. Second equation is 2x + y = 15. Subtract both equations to get x = 4. Although there is no need to solve for x.

We have 2 distinct equations and 2 variables, can be solved. Hence sufficient.

(2) We can get 3x = 12 or x = 4. Hence sufficient.

Hence Option D
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Re: What is the value of x? (1) 3 + x + y = 14 and 2x + y = 15 (2) 3x + 2  [#permalink]

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New post 22 Nov 2018, 14:52
Statement 1: 3+x+y =14 and 2x + y =15 are enough to find the values of x. Hence, Sufficient.

Statement 2 :3x + 2y = 12 + 2y is enough to find the value of x. Hence, Sufficient.

D is the correct answer.
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What is the value of x?  [#permalink]

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New post 02 Jan 2019, 09:03
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Re: What is the value of x?  [#permalink]

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New post 02 Jan 2019, 09:09
The answer is D.
We can solve this logically, without actually doing any calculations.
1) gives us two unique equations with two variables - definitely solvable! sufficient
2) once we subtract 2y from both sides, this is one equation with variable - definitely solvable! sufficient
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Re: What is the value of x?  [#permalink]

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New post 02 Jan 2019, 11:46
gmatbusters wrote:

Project DS Butler: Day 58: Data Sufficiency (DS115)


For DS butler Questions Click Here


What is the value of x?

(1) 3 + x + y = 14 and 2x + y = 15
(2) 3x + 2y = 12 + 2y



we are looking for the value of x.

Statement 1: 3 + x + y = 14 and 2x + y = 15

3 + x + y =14

x + y = 11

and we have 2x + y = 15

2x + y =15
x + y = 11
.............................
x = 4.

Sufficient.

Statement 2: 3x + 2y = 12 + 2y

3x + 2y = 12 + 2y

3x = 12 + 2y -2y

3x = 12

x = 4.

Sufficient .

The correct answer is D.
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Re: What is the value of x?  [#permalink]

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New post 02 Jan 2019, 17:28
gmatbusters wrote:

Project DS Butler: Day 58: Data Sufficiency (DS115)


For DS butler Questions Click Here


What is the value of x?

(1) 3 + x + y = 14 and 2x + y = 15
(2) 3x + 2y = 12 + 2y



#1:
solve the two given eqns

we would get x=4 and y=7

sufficient

#2:
solve for x we get x=4

sufficient

IMO D
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Re: What is the value of x? (1) 3 + x + y = 14 and 2x + y = 15 (2) 3x + 2  [#permalink]

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New post 09 Jan 2019, 02:02
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Re: What is the value of x? (1) 3 + x + y = 14 and 2x + y = 15 (2) 3x + 2   [#permalink] 09 Jan 2019, 02:02
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