There is a safe with a 6 digit number as the key.The 6th digit is 3 lesser than the first digit. The 4th digit is 4 greater than the second digit, while the 3rd digit is 3 less than the 2nd digit. The 1st digit
is thrice the 5th digit. There are 3 pairs whose sum is 11. Find the number.

• 652923
  
  Sum should be 11 for any 3 pairs.
  So possible combinations are (2,9),(3,8),(4,7),(5,6).
  This shows 0 and 1 is not there.
  Let we take no is "abcdef"
  Given that,
  d = b+4;
  c = b-3;
  hence,
  d = c+7;
  hence c must be 2.
  hence d = 9;
  hence b = 5;
  also a = 3e is given
  hence a = 6 & e=2.
  And f = a-3
  =6-3
  =3
  3 pairs sum of 11 are (6,5)(2,9)(9,2)
  Hence number is 652923
• 12 years agoHelpfull: Yes(3) No(0)