While attending W.G.’s birthday party I reminded him that exactly one year ago I presented (double entendre) him a 15 digit number and challenged him to examine its structure and using any method to keep it in memory for another year.

“Yes, I sure remember it’s structure”, quipped he. “ Your number was composed of three 5-digit parts, each containing the same 5 distinct digits, the 1st had 4 successive digits like 1234 and additional digit, the second was like the 1st reversed and the 3rd used the same digits in a higgledy-piggledy arrangement. There were no leading zeroes, but to reconstruct the whole number I need some additional input….Otherwise there are like (paused for a minute) 1180 possible valid solutions…” “OK, I do not check this number, and I am more than happy to inform you that adding the 3 components of the 15-digit chain I got 175497.”

a. Could WG decipher my number?
b. How about you?
c. Is the 1180 correct number?

(In reply to Solution by Larry)

Larry, please mail me your email address.

Edited on December 4, 2023, 10:10 am

Posted by Ady TZIDON on 2023-12-04 08:11:52