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The points A, B, C and D lie on the number line in that ord

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The points A, B, C and D lie on the number line in that ord

by Max@Math Revolution » Mon Feb 19, 2018 12:23 am
[GMAT math practice question]

The points A, B, C and D lie on the number line in that order. If AB=BC/3, AC=(4/7)CD, A=-1, and D=10, what is the value of B?

A. -2
B. -1
C. 0
D. 1
E. 2
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by Max@Math Revolution » Tue Feb 20, 2018 11:56 pm
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Let BC = 3d.
Then AB = BC/3 = d and AC = 4d.
Also, AC = 4d = (4/7)CD and CD = 7d.
Therefore,
AD = AC + CD = 4d + 7d = 11d = 10 - (-1) = 11.
So,
d = 1, and
B = -1 + d = -1 + 1 = 0.

Therefore, the answer is C.
Answer: C
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