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