A student put points P and Q on a line to the right of point X. Three times the distance from point X to point P is four times the distance from point X to point Q. What is the ratio of PQ:XQ?

• ans 1:3
  as xp/xq = 4/3
  so pq/xq = (xp-xq)/xq = (4-3)/3 = 1/3..
• 11 years agoHelpfull: Yes(2) No(0)
• Ans: 3:1
  Exp:
  x p Q
  |-------|----------|
  ||
  ||
  by ques :
  PQ:PX = 9X : 3X = 3:1
• 11 years agoHelpfull: Yes(1) No(0)
• 3:1
  
  From given info, it is easy to see that Q is in the middle of P and X.
  Let PQ = x and XQ = y.
  To find: x/y
  Given: 3*(x+y) = 4*(x)
  That is (x + y) / x = 4 / 3
  Applying dividendo,
  y / x = 1 / 3
  Or, x / y = 3 / 1
  x:y :: 3:1
  
  To those who don't know dividendo, it says that if
  a/b = c/d, then
  (a-b)/b = (c-d)/d
  
  Similarly, componendo exists (which replaces the + with minus)
  Also, componendo-dividendo says that, if a/b = c/d then
  (a+b)/(a-b) = (c+d)/(c-d)
  
  Applying these rules, solutions to ratio and proportions can be easily found out.
• 13 years agoHelpfull: Yes(0) No(7)