Fun with numbers...

Hillbilly77

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A father & son own and operate a small motel.

One night while the father was out of the office, 3 traveling salesmen stopped in looking for a room.
The son charged them $30 for one room for the night. Each man put in his $10 and they went to their room. The father came back and the son told him what happened. He told his son, "Good job, but you over-charged them. The room is $25, not $30. Take this $5 and reimburse them."
On his way to the room, the son realizes that $5 won't split 3 ways, so he decides to pocket $2 and give each man back $1.
He went to the room and explained the over-charge and gave each man back $1 like he planned.

So, each man originally paid $10, and each got $1 back, meaning that each man paid $9 for the room.
Now, $9 x 3 = $27 paid for the room. Add the $2 that the son kept, and it comes up to $29. He charged them $30.

10 x 3 = 30
10 - 1 = 9
9 x 3 = 27
27 + 2 = 29.

Where is the missing $1.00?
 
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It's just bad math.

The $30 is accounted for:

Dad takes $25 for the room
Son pockets $2
Guest #1 gets $1
Guest #2 gets $1
Guest #3 gets $1

Add it up:
25 + 2 + 1 + 1 + 1 = 30
 
It's just bad math.

The $30 is accounted for:

Dad takes $25 for the room
Son pockets $2
Guest #1 gets $1
Guest #2 gets $1
Guest #3 gets $1

Add it up:
25 + 2 + 1 + 1 + 1 = 30

Yup, you just gotta take out the accepted premise of multipling 9X3. As Johnny Carson used to say "If you buy the premise, you buy the bit".
 
Last edited:
They were shortchanged by $2. They were suppose to be charged $25 but paid $27 (after a $3 reimbursement: $30 - $3 = $27) with the extra $2 ($27 - $25) pocketed by the son.

The original $30 is arbitrary once the refund is dispersed. Both the refund amount and money pocketed by the son should be subtracted, ie.
30 - (refund + son pocketed = 5) = 25
 
This is interesting, never mind what the room cost and look at it this way.

Each man paid $10 (3x10=30) and got $1 back (3x9=27). The son pocketed $2 (27+2=29). Only add up to $29. Where's the dollar?

Weird.
 
This is interesting, never mind what the room cost and look at it this way.

Each man paid $10 (3x10=30) and got $1 back (3x9=27). The son pocketed $2 (27+2=29). Only add up to $29. Where's the dollar?

Weird.

The simple fact is, you can't subtract, then multiply, then add back in and come out right. That's where the multiplication of the "nines" get you in trouble. It's still just $30.
 
I'll say again, you can't subtract then multiply and then add again. You get in trouble with the multiplication of 9.
Example: Two guys rent a room for $20, $10 each. Dad tells the kid it's a $15 room, here's $5 to give them back. Kid feels greedy and gives them each a dollar back and pockets the $3. Each guy has now paid $9. $2X$9 equal $18 , right. Therefore $18 plus the $3 the kid kept equal $21. Where did the extra dollar come from? Works both ways, now do you get the point?
It's like Government math! :eek: :eek:
 
this is when i throw the pen, paper, and text book across the room and stomp off saying certain words about where math can shove it, and where it can go to a nice big lake of fire. Point of the story, the kid prolly grew up to go into politics and continues to screw normal hard working people over just to pocket a few bucks.
 
Nice try, but the math in your teaser is invalid. I hope you didn't do your own taxes. :eek:

Each man ended up paying $9. $25 dollars went to pay for the room and $2 went into juniors pocket.

9x3=27
27-2=25

You don't add the $2 to the $27 (that tells you nothing), you subtract it to get the amount that was paid for the room. :rolleyes:
 
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