A drum has a combination of 2 liquids X and Y in the proprtion 7:5 when 9 L of
combination are taken out and the Drum is filled with Y, the proportion of X and Y
becomes 7:9. Then how many litres of liquids X was obtained by the Drum initially?

• 21 liters as ;; the combination of two liquids X and Y = 7x,5x ;;
  9L is taken out from X it becomes 7x-(7/12)*9 = 7x - (21/4)=(28X-21 )/4
  and 9L taken out from Y it becomes 5x-(5/12)*9 = 5x-(15/4);; and the drum is filled by Y 9L so 5x-(15/4)+9
  (20X-15+36)/4
  (20X+21)/4
  new ratio X/Y= 7/9
  {(28X-21)/4}/{(20X+21)/4} = 7/9
  252X-189=140X+147
  112X= 336
  X= 3;;
  X=7X so 7*3= 21 liters in the drum initially obtained by X
• 9 years agoHelpfull: Yes(1) No(0)