The ratio of two six digit numbers abcabc and ababab is 55/54 .Find the value of a+b+c?

1) 26
2) 14
3) 31
4) 12

• abcabc/ababab=55/54
  1001*abc/10101*ab=55/54
  7*11*13*abc/7*13*3*37=11*5/2*3*3*3
  abc/37ab=5/2*3*3
  abc/ab=37*5/18=185/18
  a=1, b=8, c=5
  a+b+c=14
• 9 years agoHelpfull: Yes(3) No(2)
• abcabc/ababab=1001*abc/10101*ab=7*11*13*abc/3*7*13*37*ab=11*abc/3*37*ab=55/54
  
  =>abc/ab=5*37/18=185/18
  
  so a+b+c=1+8+5=14
• 11 years agoHelpfull: Yes(0) No(3)
• abcabc/ababab=55/54
  cancelling 2 ab's from numerator and denominator we get, cc/ab=55/54
  equating we get c=5,a=5.b=4....so a+b+c=5+5+4=14.....
  
• 8 years agoHelpfull: Yes(0) No(1)