All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Tenacious Divisibility Treat (Posted on 2016-04-06)
A positive integer less than 30 million is such that if we subtract 5 from it – the resulting number is divisible by 8.

At the first step, from the number (considered originally) diminished by 5 - we subtract the eighth part. We then obtain a number that also becomes divisible by 8 after 5 is subtracted from it.

At the second step, we derive another in the same way, namely by subtracting a eighth part from the number at the end of the first step diminished by 5. The resulting number is also divisible by 8 after subtracting 5.

The operation concludes at 8th step given that at the end of 7th step we get a number that is divisible by 8 after after subtracting 5.

Determine the positive integer initially before the first step.

*** The resulting number at the end of 8th step is NOT necessarily divisible by 8 after subtracting 5.

 No Solution Yet Submitted by K Sengupta No Rating

 Subject Author Date re: broll's interpretation is correct Ady TZIDON 2016-04-07 12:39:14 broll's interpretation is correct Charlie 2016-04-07 10:41:07 re(2): Help from a negative (solution)....WRONG Ady TZIDON 2016-04-07 09:10:48 re: Help from a negative (solution) broll 2016-04-07 06:14:49 re: Help from a negative (solution) Ady TZIDON 2016-04-06 12:54:42 my numbers Ady TZIDON 2016-04-06 12:25:44 Help from a negative (solution) Brian Smith 2016-04-06 10:30:14 solution Charlie 2016-04-06 10:14:35 Not sure broll 2016-04-06 09:37:19

 Search: Search body:
Forums (4)