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# If 2x and is 12 less than the sum of 6x and 4y, then what is the value

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VP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1304
Location: India
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
If 2x and is 12 less than the sum of 6x and 4y, then what is the value  [#permalink]

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Updated on: 25 Aug 2018, 05:32
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Difficulty:

15% (low)

Question Stats:

81% (01:02) correct 19% (00:10) wrong based on 26 sessions

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If 2x is 12 less than the sum of 6x and 4y, then what is the value of x + y?

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_________________

"Do not watch clock; Do what it does. KEEP GOING."

Originally posted by AkshdeepS on 24 Aug 2018, 10:21.
Last edited by generis on 25 Aug 2018, 05:32, edited 1 time in total.
Edited the question
Manager
Joined: 22 Jun 2017
Posts: 72
Location: Brazil
GMAT 1: 600 Q48 V25
GPA: 3.5
WE: Engineering (Energy and Utilities)
Re: If 2x and is 12 less than the sum of 6x and 4y, then what is the value  [#permalink]

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24 Aug 2018, 10:38
$$6x + 4y - 12 = 2x$$
$$4x + 4y = 12$$

$$x + y = 3$$

Option C
Director
Joined: 31 Oct 2013
Posts: 788
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If 2x and is 12 less than the sum of 6x and 4y, then what is the value  [#permalink]

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24 Aug 2018, 10:54
AkshdeepS wrote:
If 2x and is 12 less than the sum of 6x and 4y, then what is the value of x + y?

1. 1

2. 2

3. 3

4. 6

5. 9

2x = 6x + 4y - 12

4x + 4y = 12

4(x + y) = 12

x + y = 3.

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2203
Re: If 2x and is 12 less than the sum of 6x and 4y, then what is the value  [#permalink]

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25 Aug 2018, 01:03

Solution

Given:
• 2x is 12 less than the sum of 6x and 4y

To find:
• The value of (x + y)

Approach and Working:
As it is given that 2x is 12 less than the sum of 6x and 4y, we can write this in the equation form as
• 2x = (6x + 4y) – 12

Simplifying the equation, we get
• 4x + 4y = 12
Or, x + y = 3

Hence, the correct answer is option C.

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If 2x and is 12 less than the sum of 6x and 4y, then what is the value  [#permalink]

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25 Aug 2018, 08:38
1
AkshdeepS wrote:
If 2x is 12 less than the sum of 6x and 4y, then what is the value of x + y?

1. 1

2. 2

3. 3

4. 6

5. 9

We need the value of the expression $$(x+y)$$

One equation. Two variables. We cannot isolate $$x$$ or $$y$$. Do not try to express one variable in terms of another in order to substitute.

Instead, write the equation. Key: simplify or manipulate the equation until the expression is isolated.

In English, "less than" and "more than" are algebraically backwards.

"12 less than [something]" means
"[something], less 12" =
"[something] - 12"

Whatever comes AFTER the word "than" is the quantity that gets changed, the [something] from which 12 is subtracted.

2x is 12 less than [the sum of 6x and 4y]
2x = [6x + 4y], less 12
2x = 6x + 4y - 12
12 = 4x + 4y
We need (x + y), so divide by 4
3 = (x + y)

VP
Joined: 09 Mar 2016
Posts: 1091
Re: If 2x and is 12 less than the sum of 6x and 4y, then what is the value  [#permalink]

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25 Aug 2018, 11:32
1
AkshdeepS wrote:
If 2x is 12 less than the sum of 6x and 4y, then what is the value of x + y?

1. 1

2. 2

3. 3

4. 6

5. 9

6x+4y-2x=12
4x+4y=12
so x and y must be 1 and 2 or vice versa
1+2=3
Re: If 2x and is 12 less than the sum of 6x and 4y, then what is the value &nbs [#permalink] 25 Aug 2018, 11:32
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