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# If x is the number on the number line between 5 and 15 that is twice a

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Math Expert
Joined: 02 Sep 2009
Posts: 49251
If x is the number on the number line between 5 and 15 that is twice a  [#permalink]

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26 Aug 2018, 21:39
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Difficulty:

35% (medium)

Question Stats:

77% (01:25) correct 23% (01:48) wrong based on 30 sessions

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If x is the number on the number line between 5 and 15 that is twice as far from 5 as from 15, then x is

A. $$5 \frac{2}{3}$$

B. $$10$$

C. $$11 \frac{2}{3}$$

D. $$12 \frac{1}{2}$$

E. $$13 \frac{1}{3}$$

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If x is the number on the number line between 5 and 15 that is twice a  [#permalink]

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Updated on: 26 Aug 2018, 22:02
Bunuel wrote:
If x is the number on the number line between 5 and 15 that is twice as far from 5 as from 15, then x is

A. $$5 \frac{2}{3}$$

B. $$10$$

C. $$11 \frac{2}{3}$$

D. $$12 \frac{1}{2}$$

E. $$13 \frac{1}{3}$$

Given , x is the number on the number line between 5 and 15 that is twice as far from 5 as from 15. Translating from word to algebra.

a) 2x=5
b) x=15
c) 2x+x=15-5=10(distance between 5 and 15)
or, 3x=10 or x=10/3
We have to find the value of x that satisfies of all the above criteria.

Now 'x' can be $$15-x=15-\frac{10}{3}$$= $$11 \frac{2}{3}$$

Ans. (C)
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PKN

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Originally posted by PKN on 26 Aug 2018, 22:00.
Last edited by PKN on 26 Aug 2018, 22:02, edited 1 time in total.
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Joined: 01 Feb 2018
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Re: If x is the number on the number line between 5 and 15 that is twice a  [#permalink]

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26 Aug 2018, 22:01
Bunuel wrote:
If x is the number on the number line between 5 and 15 that is twice as far from 5 as from 15, then x is

A. $$5 \frac{2}{3}$$

B. $$10$$

C. $$11 \frac{2}{3}$$

D. $$12 \frac{1}{2}$$

E. $$13 \frac{1}{3}$$

Going through elimination of options,

First checking B since its the easiest to eliminate, 10 is equidistant from 5 and 15. And since options are arranged in ascending order, it can't be A either.
Eliminate A and B.

Check for C, $$11 \frac{2}{3}$$ is 35/3 which is approximately 11.6. Distance between 5 and 11.6 is 6.66 and distance from 11.6 to 15 is 3.33.
As we can see 6.66 is double of 3.33, and hence answer should be (C).
Do let me know if there is any other approach, thanks.
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Re: If x is the number on the number line between 5 and 15 that is twice a &nbs [#permalink] 26 Aug 2018, 22:01
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