If \(n\) is an integer between 3 and 9, what is the value of

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by Jay@ManhattanReview » Tue Oct 08, 2019 10:14 pm
BTGmoderatorLU wrote:Source: Manhattan Prep

If \(n\) is an integer between 3 and 9, what is the value of \(n\)?

1) On the number line, the distance from 3 to \(n\) is \(2/3\) of the distance from 3 to 9.
2) On the number line, \(n\) is 10 units to the right of -3.

The OA is D
Let's take each statement one by one.

1) On the number line, the distance from 3 to \(n\) is \(2/3\) of the distance from 3 to 9.

=> 3 < n < 9

Thus, n - 3 = 2/3 of (9 - 3) => n = 7. Sufficient

2) On the number line, \(n\) is 10 units to the right of -3.

=> n = -3 + 10 = 7. Sufficient

The correct answer: D

Hope this helps!

-Jay
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