On the number line shown, the difference between point A and point X

Question

https://gmatclub.com/forum/download/file.php?id=77438 On the number line shown, the difference between point A and point X is 5 times the distance between point B and point X. What is the coordinate of point X? A. 7/16 B. 1/2 C. 5/8 D. 11/16 E. 15/16 Screenshot 2024-07-13 142141.png

chetan2u · Answer

Let the distance between point B and point X be y, then the distance between point A and point X will be  \frac{1}{4}-(-\frac{1}{2})+y

It is given that  \frac{1}{4}-(-\frac{1}{2})+y=5y  
 \frac{1}{4}-(-\frac{1}{2})=4y 
 \frac{3}{4}=4y 
 y=\frac{3}{16}

But we are looking at the coordinates of X, which will be  \frac{1}{4}+y=\frac{1}{4}+\frac{3}{16}=\frac{7}{16} .

Be aware, it could easily have had an option of 3/16, and all those who wouldn't have read the question properly would have market that as correct.

A

tblab3128 · Answer

why isnt it 3/4 * 1/5 = 3/20 If they are saying the distance between A and X is 5X the distance of X and B?

GMATinsight · Answer

AX = 5*BX AB + BX = 5*BX i.e. AB = 4*BX but AB = (1/4) - (-1/2) = (1/4) + (2/4) = 3/4 i.e. BX = AB / 4 = 3/16 Co-ordinate of X = Coordinate of B + BX = (1/4)+(3/16) = 7/16 Answer: Option A --- GMATinsight | www.GMATinsight.com GMAT FOCUS PREP Expert Youtube: www.Youtube.com/GMATinsight

micky282 · Answer

To find the difference between point A and point X on a number line, subtract the coordinates of point X from the coordinates of point A. This will give you the absolute value of the distance between the two points. If A is to the right of X, the difference will be positive; if A is to the left, the difference will be negative. In Kuwait, utilizing expert repair services helps avoid expensive replacements and keeps your appliance in top condition. Choose skilled technicians for a smooth and hassle-free laundry experience.

pancakeprotein · Answer

To Solve for X:

Step 1 : X - (-  ) = 5(X -   )

Step 2 : X +    = 5X -

Step 3 : 8X + 4 = 40X - 10

Step 4 : 32X = 14

Answer A  = X =    =

e3thekid · Answer

x - (-1/2) = 5(x - 1/4)
x + 1/2 = 5x - 5/4

1/2 + 5/4 = 4x -> multiple by 4
2 + 5 = 16x
7 = 16x
7/16 = x

Option A

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HarshavardhanR · Answer

https://gmatclub.com/forum/download/file.php?id=82620 ___ Harsha GMAT-Club-Forum-bwv3dmrn.png

hemanthPA · Answer

Given: 
D(A to X) = 5*D(B to X)....... Equ 1

Let B to X be y, then A to X will be = 3⁄4 +y

-1/2 to 1⁄4 it is 3⁄4
And from B to X is y

Substituting the value of distance between a to x in equ 1

3⁄4 + y = 5y
3⁄4 = 4y
Y = 3/16 – distance between B to X

Now point of Y is 1⁄4 + 3/16 = 28/64 = 7/16

7/16 is the point where X lies

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On the number line shown, the difference between point A and point X

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