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# If (l − m)/(7 − 2) = l/7 − m/2, which of the following statements must

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Math Expert
Joined: 02 Sep 2009
Posts: 60627
If (l − m)/(7 − 2) = l/7 − m/2, which of the following statements must  [#permalink]

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23 Nov 2016, 06:37
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Difficulty:

25% (medium)

Question Stats:

74% (01:46) correct 26% (01:53) wrong based on 96 sessions

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If (l − m)/(7 − 2) = l/7 − m/2, which of the following statements must be true?

A. l = m
B. l = −m
C. 2l = −7m
D. 3l = −19m
E. 4l = −21m

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Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
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Location: Pune, India
Re: If (l − m)/(7 − 2) = l/7 − m/2, which of the following statements must  [#permalink]

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24 Nov 2016, 06:10
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Bunuel wrote:
If (l − m)/(7 − 2) = l/7 − m/2, which of the following statements must be true?

A. l = m
B. l = −m
C. 2l = −7m
D. 3l = −19m
E. 4l = −21m

$$\frac{(l − m)}{(7 − 2)} = \frac{l}{7} − \frac{m}{2}$$

$$\frac{(l - m)}{5} = \frac{l}{5} - \frac{m}{5} = \frac{l}{7} - \frac{m}{2}$$

$$\frac{l}{5} - \frac{l}{7} = \frac{m}{5} - \frac{m}{2}$$

$$l*(\frac{2}{35}) = m*(\frac{-3}{10})$$

$$4l = -21m$$

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Karishma
Veritas Prep GMAT Instructor

Re: If (l − m)/(7 − 2) = l/7 − m/2, which of the following statements must   [#permalink] 24 Nov 2016, 06:10
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