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 Quite a coincidence (Posted on 2018-01-19)
"It's unbelievable!" exclaimed Jerry facing his three friends Adam, Dan and Betty.
"I've asked you to tell me independently each a 4-digit number and after a while, I'm happy to announce that if any of you will divide their number by mine you will end up with the same remainder! "
Now that you know it I'm sure that you will be able jointly to figure the value of my number...- of course it will be the largest of the qualifying candidate answers...

Adam: It could not be true for any three non-related 4-digit numbers!
Betty: You were extremely lucky to find such a special number!
Dan: And now we will be able to calculate the value of your number!

Indeed, Adam(2479), Betty(6181), and Dan(8649), after a not-so-long brainstorming session successfully restored Jerry's number.

a. What was it?
b. d4 bonus question:
What's the probability of Jerry "success" with 3 RANDOMLY CHOSEN
three 4-digits numbers.

 Subject Author Date re: proposed solution Steve Herman 2018-01-19 19:59:20 proposed solution Charlie 2018-01-19 11:41:55 re: Part B (spoiler) Ady TZIDON 2018-01-19 10:50:39 Part B (spoiler) Steve Herman 2018-01-19 10:13:57 re: Part A only Steve Herman 2018-01-19 09:47:52 Part A only Jer 2018-01-19 07:39:52

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