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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If x is the number on the number line between 5 and 15 that is twice a

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Math Expert V
Joined: 02 Sep 2009
Posts: 59721
If x is the number on the number line between 5 and 15 that is twice a  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 70% (01:30) correct 30% (01:34) wrong based on 64 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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Director  D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 990
WE: Supply Chain Management (Energy and Utilities)
If x is the number on the number line between 5 and 15 that is twice a  [#permalink]

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1
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

Rise above the storm, you will find the sunshine

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.
Manager  G
Joined: 01 Feb 2018
Posts: 96
Location: India
GMAT 1: 700 Q47 V38 WE: Consulting (Consulting)
Re: If x is the number on the number line between 5 and 15 that is twice a  [#permalink]

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1
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.
Intern  B
Joined: 13 Jul 2018
Posts: 16
Location: India
Schools: EDHEC
GPA: 2.49
Re: If x is the number on the number line between 5 and 15 that is twice a  [#permalink]

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X - 5 = 2(15 - x)
X - 5 = 30 - 2x
3x = 35
X = 35/3
X = 11 2/3

Posted from my mobile device Re: If x is the number on the number line between 5 and 15 that is twice a   [#permalink] 14 Nov 2019, 21:32
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# If x is the number on the number line between 5 and 15 that is twice a  