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3x + 6y = 27.... x + 2y + z = 11

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GMAT Club Legend
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Joined: 07 Jun 2014
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3x + 6y = 27.... x + 2y + z = 11 [#permalink] New post 23 Jun 2018, 12:26
Expert's post
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Question Stats:

61% (00:25) correct 38% (01:28) wrong based on 26 sessions
3x + 6y = 27
x + 2y + z = 11

Quantity A
Quantity B
z + 5
x + 2y – 2


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: 3x + 6y = 27.... x + 2y + z = 11 [#permalink] New post 26 Jun 2018, 07:56
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sandy wrote:
3x + 6y = 27
x + 2y + z = 11

Quantity A
Quantity B
z + 5
x + 2y – 2


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.



From 1st equation we have

3x + 6y = 27

or x + 2y = 9 (dividing by 3)

From equation 2, we have

x + 2y + z = 11

or z = 2 (since we got x + 2y = 9; from equation 1)

Now statement 1; putting the value of z

Z + 5 = 2 + 5 =7

Now statement 1; putting the value of x + 2y

x + 2y - 2 = 9 - 2 = 7

Hence Statement 1 = Statement 2 i.e. option C
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Re: 3x + 6y = 27.... x + 2y + z = 11 [#permalink] New post 27 Jun 2018, 16:59
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3x+6y=27 -> x+2y=9 -> z=11-(x+2y)=2 -> z+5=x+2y-2 -> C
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1665 [0], given: 396

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Re: 3x + 6y = 27.... x + 2y + z = 11 [#permalink] New post 18 Jul 2018, 07:11
Expert's post
Explanation

This question may at first look difficult, as there are three variables and only two equations.

However, notice that the top equation can be divided by 3, yielding x + 2y = 9. This can be plugged into the second equation:

(x + 2y) + z = 11

(9) + z = 11

z = 2

Quantity A is thus 2 + 5 = 7. For Quantity B, remember that x + 2y = 9. Thus, Quantity B is 9 – 2 = 7.

The two quantities are equal.
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Re: 3x + 6y = 27.... x + 2y + z = 11   [#permalink] 18 Jul 2018, 07:11
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3x + 6y = 27.... x + 2y + z = 11

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