There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.

• Cars originally had Sudhir=39, Arvind=21 & Gauri=12
  If we solve it by equation according to three stages of lending
  Let's assume they have originally S, A & G no. of cars
  According to Ist condition status of Sudhir, Arvind & Gauri
  S-A-G 2A 2G
  According to 2nd condition 2(S-A-G) 2A-(S-A-G)-2G 4G
  According to 3rd condition 4(S-A-G) 2(2A-(S-A-G)-2G) 4G-(2(S-A-G))
  -(2A-(S-A-G)-2G
  Finally are are left with 24 cars, So equating all the above eqn. with 24
  We get S=39, A=21, G=12
  
  
• 12 years agoHelpfull: Yes(2) No(7)
• Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.Explanation:Sudhir Arvind GauriFinally 24 24 24Before Gauri?s transaction 12 12 48Before Arvind?s transaction 6 42 24Before Sudhir? s transaction 39 21 12.
• 9 years agoHelpfull: Yes(1) No(0)
• Original Cars Intermidiate Final
  
  Sudhir x = 42 x - y - z (x - y - z)+(x - y - z) = 24
  
  Arvind y = 24 y + y = 2*y 2*y - 2*z - (x - y - z) = 24
  
  Gauri z = 6 z + z = 2*z 2*z + 2*z = 4*z = 24
• 6 years agoHelpfull: Yes(0) No(0)