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Get the bases! (Posted on 2018-10-17) Difficulty: 3 of 5
The number 1987 can be written as a three digit number xyz in some base b.
If x + y + z = 1 + 9 + 8 + 7=25, determine all possible values of x, y, z, b.

Source: 1987 Canadian Mathematical Olympiad.

  Submitted by Ady TZIDON    
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Solution: (Hide)
Assuming positive integer base and no leading zeroes there is only one valid answer: (x,y,z,b)=(5,9,B,19), B representing the value of 11 in the 19-based system.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): computer solnSteven Lord2018-10-18 12:42:04
Some Thoughtsre: computer solnAdy TZIDON2018-10-18 02:31:43
computers not neededxdog2018-10-17 18:12:16
re: computer soln --- my program for itCharlie2018-10-17 11:39:24
computer solnSteven Lord2018-10-17 10:41:26
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