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Let J and K be given points along a certain line. There are exactly two other distinct points U and V on this line such that UJ/UK=4 and VJ/VK=7. Let W be the midpoint of UV. Calculate the ratio WJ/WK.

 Jan 24, 2021
 #1
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      Here's  the way I laid  it  out......let  JK    =120

 

      

 

 

JU =  96

UK =  24

JV = 105

VK  = 15

 

U  =   96

V  =   105

 

Midpoint =   (96+105)  / 2  = 100.5  =  W

 

WJ =   100.5

WK =   120 - 100.5  =   19.5

 

  WJ/ WK   = 100.5 / 19.5  =  (201/5)  / ( 39/5)   =   201 / 39  =       67/13

 

 

cool cool cool

 Jan 24, 2021

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