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I'm looking at and have a bit of a problem with data

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I'm looking at and have a bit of a problem with data [#permalink] New post 06 Jan 2010, 20:24
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I'm looking at and have a bit of a problem with data sufficiency question 94, of page 281 of the 12th edition of the official GMAT review where it says:

If line k in the xy-plane has equation y= mx + b, where m and b are constants, what is the slope of k?

(1) k is parallel to the line with equation y= (1-m)x + b + 1




Apparently the answer says that statement (1) alone is sufficient because the slope of line k and the other line are the same since the two lines are parallel, and thus m= 1 - m, and therefore m= 1/2.

I understand that the two lines will have the same slope since they're parralell, but does no one else see the impossibility of setting m = 1-m ??

If m is a constant or variable, it cannot possibly equal 1 minus itself, no?
That's like saying 5 = 1 - 5.
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Re: Data sufficieny question [#permalink] New post 06 Jan 2010, 23:09
glender wrote:
I'm looking at and have a bit of a problem with data sufficiency question 94, of page 281 of the 12th edition of the official GMAT review where it says:

If line k in the xy-plane has equation y= mx + b, where m and b are constants, what is the slope of k?

(1) k is parallel to the line with equation y= (1-m)x + b + 1




Apparently the answer says that statement (1) alone is sufficient because the slope of line k and the other line are the same since the two lines are parallel, and thus m= 1 - m, and therefore m= 1/2.

I understand that the two lines will have the same slope since they're parralell, but does no one else see the impossibility of setting m = 1-m ??

If m is a constant or variable, it cannot possibly equal 1 minus itself, no?
That's like saying 5 = 1 - 5.



m = 1 -m

add m to both sides: 2m = 1
divide by 2 to both sides: m = 1/2

the equation holds only for 1/2, not any value. Plug in 1/2 into the equation and you see it holds true.
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Re: Data sufficieny question [#permalink] New post 07 Jan 2010, 04:35
Hi Glender,
If two lines are parallel then each of the two lines cut the x axis at same angle.
Hence we can say that slopes will be equal.

Form the above given two equations we can take the slopes of those lines
and equate them.
therefore
m = 1-m --> 2m = 1--> m = 1/2

So we can conclude that statement1 is sufficient.

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Re: Data sufficieny question [#permalink] New post 07 Jan 2010, 19:23
Thanks guys for your responses. I now see the reasoning behind it... lapse in pretty basic logic.
Re: Data sufficieny question   [#permalink] 07 Jan 2010, 19:23
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