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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.

See The Solution Submitted by Ady TZIDON    
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Some Thoughts re: computer soln | Comment 4 of 5 |
(In reply to computer soln by Steven Lord)

I am painfully aware that these kids had no computers - so how did they limit the choices? 

1987- ???- 
a. There were many hand-held programmable calcularors  e.g. Texas Instruments. 
b. The puzzle needs no software approach - it is solvable WITHOUT. 

  Posted by Ady TZIDON on 2018-10-18 02:31:43
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