RE: Riddle: The 3 guys, the bellhop, and the missing buck.

Article Here.

Not sure how old this article is, but as a math lover, I had to make a tiny correction. By tiny correction, of course, I mean to say Uncle Cecil was completely wrong. Just because you don’t see a connection, doesn’t mean it isn’t there. The key to this riddle is not a “happenstance” closeness of numbers, but, as in many a good trick, misdirection.

$10 X 3 = $30 (Original Total)
$30 - $5 = $25 (Adjusted Total)
$9 X 3 = $27 (Amount sailors paid) - $2 (Amount kept by the bellhop) = $25 (Total hotel receives)

Each sailor paid $27 but two should have paid a dollar less (or however you want to do the math) and the hotel gets exactly what it should. Works the same in the example given by Cecil.

$15 X 3 = $45 (Original Total)
$45 - $20 = $25 (Adjusted Total)
$14 * 3 = $42 (Amount sailors paid) - $17 (Amount kept by the bellhop) = $25 (Total hotel receives)

The amount used in the original riddle gives a close enough total to make one think the dollar is missing, but what they really missed is the fact that they are working toward the wrong total.

That gets pretty close to defining misdirection. The talk of happenstance was (probably) an attempt to draw one’s attention to such.

Agreed. The example chosen is intentional so that the misdirection works. Cecil was trying to point out that the closeness of the numbers is what allows the misdirection to be convincing, and that if a different example is used, it is obvious something is wrong. I think “happenstance” was to emphasize the closeness is why it works.