By multiplying my birth date by 31 and month by 12, I got a total of 494. Can you tell me birth date and month?

• Let , A be the birth date and B the month. So we can write as,
  
  31A+ 12B = 494 --> 1
  31A = 494 - 12B --> 2
  
  Now we know that there are 12 month in a year so we can check the values of B = 1,2,3...... and so on
  
  Both value must be a positive integer, so the value of B for which A comes as positive integer, will satisfy the equation 2 and it will be our solution.
  
  Case 1: Let B = 1, then A = 15.54 (Not an integer )
  
  Case 2: Let B = 2, then A = 15.16 (Not an integer )
  
  Case 3: Let B = 3, then A = 14.77 (Not an integer )
  
  Case 4: Put B = 4, then A = 14.38 (Not an integer )
  
  Case 5: Let B = 5, then A = 14 (It is a pure integer value)
  
  Put these values in equation 1
  
  31(14) + 12(5) = 494
  
  The above Value satisfies. So the ans is "14 May".
• 8 years agoHelpfull: Yes(23) No(0)
• Let D be the date and M be the month.
  So the question will be written as
  31D + 12M = 494
  12A = 494 - 31M
  
  Now we know the factor of 12 is 3 and 4
  So let check the value by putting the value of M
  case a: M=odd
  like 1,3,5,7,9,11......
  31*1=31
  494-31=463
  because 463 is not divisible by 4
  because last two digit is not divisible by 4 & sum of digit is not divisible by 3
  So neglect the odd numbers of M
  case b: even numbers
  2 31*2=62 494-62=432
  432/12=38 is not a month month should be
• 8 years agoHelpfull: Yes(0) No(1)
• 31×14+12×5
• 7 years agoHelpfull: Yes(0) No(0)