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Which of the following is 6/7 times as far from 7/3 as is 1

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Max@Math Revolution Legendary Member
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Which of the following is 6/7 times as far from 7/3 as is 1

Post Tue Feb 27, 2018 12:49 am
[GMAT math practice question]2.27

Which of the following is 6/7 times as far from 7/3 as is 17/6 from 2/3?

A. 88/21
B. 21/88
C. 77/20
D. 20/77
E. 78/21

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Max@Math Revolution Legendary Member
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Post Thu Mar 01, 2018 2:39 am
=>

We have |x - 7/3| = (6/7)|17/6 - 2/3|.
|x - 7/3| = (6/7)(13/6)
x - 7/3 = ±(6/7)(13/6) = ±13/7
x = ±13/7 + 7/3
x = (39 + 49)/21 = 88/21 or x = (-39 + 49)/21=10/21

Therefore, the answer is A.

Answer: A

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