Guess That Number I
Math brain teasers require computations to solve.
"And welcome back to Guess That Number! Before the break Mr. Pok got to the 1 million dollar question! So, Mr. Pok how are you feeling?"
"Very nervous Bill, very nervous," replied Mr. Pok.
"Okay Mr. Pok, you know what to do. We'll put a set of clues on are screen, and you must figure out what number we're talking about! Today, the mystery number is represented by A. Mr. Pok, if you can figure out what number A stands for in 2 minutes or less, we'll give you 1 million dollars! Are you ready?" asked Bill.
"I hope so," answered Mr. Pok.
"Okay! The clues are on our screen! On your mark! Get set! GO!" screamed Bill.
Mr. Pok turned around and faced the screen. My challenge to you is can you help Mr. Pok win the million dollar prize? Here are the clues given to Mr. Pok:
1. 100 is larger than A.
2. A is larger than 30.
3. A is a multiple of 6.
4. The sum of A's digits is 9.
5. The number in the tens place is larger than the number in the ones place.
6. The difference between A's digits is 1.
Mr. Pok figured out the answer and scribbled it down on the notebook in front of him right when the buzzer sounded. He raised his answer for all to see.
"Congratulations Mr. Pok! You have won 1 million dollars!" Bill said into the microphone.
What number did Mr. Pok write in the notebook?
Answer
Mr. Pok wrote 54.
We first start with clue number 1. We figure out A is less than 100. Next we look at clue number 2. We figure out that A is bigger than 30. So we now know that A has to be between 31 and 99.
The third clue tells us that it has to be a multiple of 6. So you write down all the multiples of six between 31 and 99. The multiples are 36, 42, 48 54, 60, 66, 72, 78, 84, 90, and 96.
Next, we find out that the sum of A's digits is 9, so we can cross out 42, 48, 60, 66, 78, 84, and 96. Next, we find out that the number in the tens place is larger than the number in the ones place so we can cross out 36. The last clue tells us that the difference between A's digits is 1. So therefore the only number that fits all 6 clues is 54.
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Comments
Rukia
Jun 20, 2007
 the explanation is much longer than it needs to be. the digits of any number less than 100 that is a multiple of nine add up to nine. therefore you could skip step 3 entirely, except that it lends to the answer of 6 x 9. 
candymg_gymnast
Jun 21, 2007
 i think this is awsome but ui remember doing this in 3rd grade. 
princess2007
Jun 21, 2007
 it was fun but very easy 
krabcat
Jun 21, 2007
 yay i won $1 million 
DaCaminator
Jun 22, 2007
 kinda of hard ......lol 
jediliz
Jun 22, 2007
 I figured it out by elimination (or whatever the word would be).
I knew it was larger than 30, but less than 100. And it had to be a multiple of 6. I was also thinking to the "9" rule where the two digits add up to 9. 36  nope, won't work. 72  won't work. Then I read the clue about tens place and ones place and I finally figured it out. 
sanju
Jun 24, 2007
 its so reasonable. it is funny but very easy 
Harmony_Girl
Jun 24, 2007
 Sweet... 
dragonlove
Jun 26, 2007
 Good puzzle. I only needed clues # 1, 2, 4, & 6. Actually only needed to know that it is two digits, they add up to 9, the tens is bigger, and they differ by 1. 
flowergirl1219
Jun 28, 2007
 Don't forget to send me a message saying what subject you want me to do on a quiz!!!!!!!!!!!!!!!! 
leftclick
Jul 16, 2007
 Nice one. Although given that clue 6 only makes sense in the context of twodigit numbers ("difference" is a binary operation), all you really need are clues 3, 4 and 6: a multiple of 6 and 9 where the difference between digits is 1. (Someone already pointed out that sum of digits = 9 means a multiple of 9) 
Kelby
Jul 22, 2007
 Very nice teaser. I liked it. 
drummergirl23
Jul 27, 2007
 I love these types of teasers!! good one!! 
MikeMan1216
Jul 30, 2007
 I got it! 
FatHead
Aug 19, 2007
 Not bad, but quite easy. Some of those clues are redundant! 
javaguru
Jan 13, 2009
 So what do I win for doing it in 14 seconds...most of which was spent reading the clues not doing math?
Sheesh any program that had that as the million dollar question couldn't afford the prize insurance. 
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