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He gave me S and asked for X (Posted on 2023-05-23) Difficulty: 3 of 5
Last night a puzzle was presented to me by my friend, a mathematician a.k.a. W.G. i.e. the Wise Guy.
He said: "I provide you a number S which is the sum of my secret
3 digit number X and 2 two-digit numbers derived from X by erasing one of its digits.
S is a 3 digit number composed of distinct digits. I want you, using no computation aids, just your brains, pen and paper to solve my conundrum.

The sum is 439 - What is my original number?"

Needless to say it was solved in no time, you can treat it as a d1 entry and handle it p&p.

But it inspired the following generalization addressing the perplexus society, rather d3:

There are plenty of 3 digit numbers using 3 distinct digits in the range of 102 to 987 (i. how many?).
Ii. How many, if used as S in the puzzle will provide a valid and unique X?
iii. How many yield: no solution?
iv. How many, if any, 2 or more answers?

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: more findings -- revised statisticsCharlie2023-05-23 17:07:36
re: more findingsCharlie2023-05-23 16:40:02
Some Thoughtsmore findingsLarry2023-05-23 12:21:16
Some Thoughtscomputer findingsCharlie2023-05-23 07:12:27
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