After world war II three departments did as follows. First department gave some tanks to the 2nd and 3rd department equal to the number they are having. Then 2nd department gave some tanks to 1st and 3rd department equal to the number they are having. Then 3rd department gave some tanks to 1st and 2nd department equal to the number they are having. Then each department has 24 tanks. Find the initial no. of tanks of each department?

• this one is easy for u
  start from downwards 24,24,24
  take half from both depart me t and give it 2 3rd
  means
  12,12,48
  then for second 6,6+12+24,24=6,42,24
  then for first6+21+12,21,12=39,21,12 :)
• 8 years agoHelpfull: Yes(23) No(3)
• let initial no. of tanks they had are x,y and z respectively
  i.e.
  1st dept 2nd dept 3rd dept
  initially x y z
  after x-y-z 2y 2z
  then 2(x-y-z) 2y-x+y+z-2z 4z
  lastly 4x-4y-4z 6y-2x-2z 7z-x-y
  
  according to question
  4x-4y-4z=24
  6y-2x-2z=24
  & 7z-x-y=24
  after solving these three equations we get our final answer
  x=39, y=21 and z=12
• 8 years agoHelpfull: Yes(8) No(3)
• initially dep1-39,dep2-21,dep3-12
  after 1st dep giving tanks to 2nd and 3rd deps each will have dep1-6,dep2-42,dep3-24
  after 2nd dep giving tanks to 1st and 3rd deps each will have 12,12,48
  after 3rd dep giving tanks to 1st and 2nd deps each will have 24,24,24
• 8 years agoHelpfull: Yes(2) No(4)
• initially dep1-39,dep2-21,dep3-12
  after 1st dep giving tanks to 2nd and 3rd deps each will have dep1-6,dep2-42,dep3-24
  after 2nd dep giving tanks to 1st and 3rd deps each will have 12,12,48
  after 3rd dep giving tanks to 1st and 2nd deps each will have 24,24,24
• 8 years agoHelpfull: Yes(1) No(4)
• 60, 48 and 18
• 8 years agoHelpfull: Yes(0) No(10)
• x y z
  (x-y-z)
• 7 years agoHelpfull: Yes(0) No(2)
• Video Solution & explanation :- https://youtu.be/D0a7TETz_3o
• 2 years agoHelpfull: Yes(0) No(0)