Find a 5-digit number, if we put the numeral '1' at the beginning we get a number 3 times smaller than if we put the numeral '1' at the end of the number.

• Let d 5-digit no. be "abcde"
  
  numeral at the beginning means ----> 1abcde
  numeral at the end means ----> abcde1
  
  given
  
  3*(1abcde)=abcde1
  
  [ abcde1 can be written as abcde*10+1... for example 11 can be written as 1*10+1 ]
  
  [similarly 1abcde can be written as 100000+abcde... for example 1234 can be written as 1000+234]
  
  3*(100000+abcde)=abcde*10+1
  300000+3abcde=10abcde+1
  7abcde=299999
  abcde=299999/7
  
  abcde= 42857
  
  Ans : 42857
  
  
  
• 10 years agoHelpfull: Yes(21) No(0)