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

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by BTGmoderatorLU » Sat Oct 28, 2017 5:53 pm
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.

I need help with this DS question. Can any expert explain it, please? Thanks.
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Mon Oct 30, 2017 2:03 am
LUANDATO wrote: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.

I need help with this DS question. Can any expert explain it, please? Thanks.
(1) On the number line, the distance from 3 to n is 2/3 of the distance from 3 to 9.

=> Distance between 3 and 9 = 6

Thus, the distance from 3 to n is 2/3 of 6 = 2/3*6 = 4

Thus, n - 3 = 4 => 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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