We can write two equations from this...
  
 A+n  = 3*(B-n) (Bob gives n dollars to Alice)
 A - n  =  2 * (B + n) (Alice gives n dollars to Bob)
  
 We will get
 A+n  =  3B-3n
 =A  =  3B - 4n
 =3A  =  9B -12n
  
 A-n  =  2B+2n
 =A  =  3B + 3n 
 =4A  =  12B + 12n        
  
 Then, we can add these together to get--
  
 7A =  17B
 =7A / B  =  17
 =A / B  =  17 / 7
  
 Hope this helped!