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3 guys want to share a hotel room and the costs. The clerk charges them $30 ($10 apiece) and sends them up to their room so they can rest. Later he discovers that he's overcharged them for the room, the correct rate for that room is only $25 per night. He sends the bell hop up to their room with their $5 refund. On the way up to their room the bell hop is wondering how he's supposed to split $5 between 3 different guys. In order to avoid the hassle he pockets $2 of the $5, leaving a $3 refund to split between the 3 friends. He does this and leaves... everyone is happy right? Except for the mathematician... the 3 friends each paid $9 apiece for the room ($10 minus the $1 refund) which makes a total cost of $27 ($9 times 3) for the room. $27 plus the $2 the bell hop kept only equals $29 where'd the missing dollar go? In the mathematicians wallet, that's his cut for making you believe that numbers are perfect...

I once knew the solution, but now I've forgotten...

Can someone help me?

I once knew the solution, but now I've forgotten...

Can someone help me?

Comments

I've been thinking for the past 10 min,. but to no avail. Let me continue..tic...tic...tic...

bvpraveenpieanneLet's solver it using bottom-up approach. Firstly, the room costs $30 and then the boy keeps $2. Hence,

the room rent is $28and not $27 as assumed.Therefore 28 + 2 = 30 !!!!

bvpraveenpieanneLet me think for a better solution.

bvpraveenthe 2 left (from the five) are for the bell boy, and not the three left from above...

pieanneThe three men paid $25 for the

motel room and the bellhop kept $2, for a

total of $27 ($9 each man).

EargasmsThe facts in this riddle are clear: There is an initial $30 charge. It should have been $25, so $5 must be returned and accounted for. $3 is given to the 3 friends, $2 is kept by the bellhop - there you have the $5. The trick to this riddle is that the addition and subtraction are done at the wrong times to misdirect your thinking - and quite successfully for most. Each of the 3 friends did indeed pay $9, not $10, and as far as the friends are concerned, they paid $27 for the night. But we know that the clerk will tell us that they were charged only $25 and when you add the $3 returned with the $2 kept by the bellhop, you come up with $30.

Eargasms