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Four Digit Arithmetic (Posted on 2016-10-11) Difficulty: 3 of 5
Each of A, B and C is a positive integer in arithmetic sequence, with A < B < C such that the last four digits in the base ten expansion of A*B*C is 2016.

Determine the three smallest values of A+B+C

No Solution Yet Submitted by K Sengupta    
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Some Thoughts re: computer solution Comment 2 of 2 |
(In reply to computer solution by Charlie)

Trying to solve it without software, I've assumed possibility of the 1st triplet to produce P=A*B*C=2016.

Since the last digit of A   could be 1,3,6, or 8 only  and  B could be easily  determined  to fit P, I've tested the cases of A below 10.

The 1st trial produced 1,32,63 and very quickly   I have reached the conclusion that the next 2 triplets must produce products bigger than 10000. 

As usual - the computer wins.


  Posted by Ady TZIDON on 2016-10-11 22:13:37
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