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

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New post Updated on: 25 Aug 2018, 06:32
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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

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Originally posted by AkshdeepS on 24 Aug 2018, 11:21.
Last edited by generis on 25 Aug 2018, 06:32, edited 1 time in total.
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Re: If 2x and is 12 less than the sum of 6x and 4y, then what is the value  [#permalink]

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New post 24 Aug 2018, 11:38
\(6x + 4y - 12 = 2x\)
\(4x + 4y = 12\)

\(x + y = 3\)

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

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New post 24 Aug 2018, 11:54
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.

The best answer is C.
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Re: If 2x and is 12 less than the sum of 6x and 4y, then what is the value  [#permalink]

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New post 25 Aug 2018, 02:03

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.

Answer: 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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New post 25 Aug 2018, 09:38
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)

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

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New post 25 Aug 2018, 12:32
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
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Re: If 2x and is 12 less than the sum of 6x and 4y, then what is the value &nbs [#permalink] 25 Aug 2018, 12:32
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