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If x is equal to 1 more than the product of 3 and z, and y is equal to

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If x is equal to 1 more than the product of 3 and z, and y is equal to  [#permalink]

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New post 24 Feb 2017, 23:25
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Difficulty:

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Question Stats:

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If x is equal to 1 more than the product of 3 and z, and y is equal to 1 less than the product of 2 and z, then 2x is how much greater than 3y when z is 4?

(A) 1
(B) 2
(C) 3
(D) 5
(E) 6

Source: McGraw Hill GMAT
Difficulty Level: 550

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Re: If x is equal to 1 more than the product of 3 and z, and y is equal to  [#permalink]

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New post 25 Feb 2017, 01:25
SajjadAhmad wrote:
Source: McGraw Hill GMAT

If x is equal to 1 more than the product of 3 and z, and y is equal to 1 lesst han the product of 2 and z, then 2x is how much greater than 3y when z is 4?

(A) 1
(B) 2
(C) 3
(D) 5
(E) 6


\(x = 3z + 1\)

\(y = 2z - 1\)


Given z = 4

So, \(y = 2*4 - 1\)

Or, \(y = 7\)

And

\(x = 3*4 + 1\)

Or, \(x = 13\)



Quote:
then 2x is how much greater than 3y


2x = 26 & 3y = 21

Thus, 2x is 5 more than 3y, answer must be (D) 5
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Re: If x is equal to 1 more than the product of 3 and z, and y is equal to  [#permalink]

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New post 25 Feb 2017, 13:25
1
SajjadAhmad wrote:
Source: McGraw Hill GMAT

If x is equal to 1 more than the product of 3 and z, and y is equal to 1 lessthan the product of 2 and z, then 2x is how much greater than 3y when z is 4?

(A) 1
(B) 2
(C) 3
(D) 5
(E) 6


x (is equal to) = (1 more than the product of 3 and z) 3z+1 => x=3z+1
y (is equal to) = (1 less than the product of 2 and z) 2z-1 => y=2z-1

2x (is)= (how much) ? (greater than) + 3y => 2x-3y=?
=>\(2(3z+1)-3(2z-1)=?\) when z is 4
=>\(2(12+1)-3(8-1)=?\)
=>\(26-21=?\)
=>\(5\)

D.
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Re: If x is equal to 1 more than the product of 3 and z, and y is equal to  [#permalink]

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New post 02 Apr 2017, 15:37
Is this really a level 600-700 question? Don't see how anyone can get tricked by it.
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Re: If x is equal to 1 more than the product of 3 and z, and y is equal to  [#permalink]

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New post 14 Jul 2018, 19:34
SajjadAhmad wrote:
Source: McGraw Hill GMAT

If x is equal to 1 more than the product of 3 and z, and y is equal to 1 lessthan the product of 2 and z, then 2x is how much greater than 3y when z is 4?

(A) 1
(B) 2
(C) 3
(D) 5
(E) 6


We can create the equations:

x = 1 + 3z

and

y = 2z - 1

When z is 4, x is 13 and y is 7.

So 2x - 3y = 26 - 21 = 5.

Answer: D
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Re: If x is equal to 1 more than the product of 3 and z, and y is equal to   [#permalink] 14 Jul 2018, 19:34
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