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IIMA, IIMC School Moderator V
Joined: 04 Sep 2016
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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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1 00:00

Difficulty:   5% (low)

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

HideShow timer Statistics Project DS Butler: Day 17: Data Sufficiency (33)

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.
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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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(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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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.

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What is the value of x?  [#permalink]

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

What is the value of x?

(1) 3 + x + y = 14 and 2x + y = 15
(2) 3x + 2y = 12 + 2y
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examPAL Representative P
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Re: What is the value of x?  [#permalink]

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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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gmatbusters wrote:

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

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 .

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Re: What is the value of x?  [#permalink]

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gmatbusters wrote:

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

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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Math Expert V
Joined: 02 Sep 2009
Posts: 55801
Re: What is the value of x? (1) 3 + x + y = 14 and 2x + y = 15 (2) 3x + 2  [#permalink]

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gmatbusters wrote:

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

What is the value of x?

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

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Merging topics.
_________________ 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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