I'm posting one puzzle, riddle, math, or statistical problem a day. Try to answer each one and post your answers in the comments section. I'll post the answer the next day. Even if you have the same answer as someone else, feel free to put up your answer, too!
Thursday, August 31, 2006
I am a number
I am a number with the following properties:
1. If I am not a multiple of 4, then I am between 60 and 69. 2. If I am a multiple of 3, I am between 50 and 59. 3. If I am not a multiple of 6, I am between 70 and 79.
consider possible multiples of 3: 51, 54, 57. But none of these are multiples of 4, so they must be between 60 and 69. Since they are not, we were wrong to consider multiples of 3. I am not a multiple of 3.
Since I am not a multiple of 3, I am not a multiple of 6 (right?).
Since I am not a multiple of 6, I must be between 70 and 79.
Since I am not between 60 and 69, I must be a mulitple of 4.
Multiples of 4 between 70 and 79 are 72 and 76, but 72 is a multiple of 3.
I still don't get this and I'm in grade 6 and I'm doing this so I don't understand this math, can you please help me and say it in a more easier language.
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76 -
ReplyDeleteIs a multiple of 4
Is not a multiple of 3
Is not a multiple of 6
consider possible multiples of 3: 51, 54, 57. But none of these are multiples of 4, so they must be between 60 and 69. Since they are not, we were wrong to consider multiples of 3. I am not a multiple of 3.
ReplyDeleteSince I am not a multiple of 3, I am not a multiple of 6 (right?).
Since I am not a multiple of 6, I must be between 70 and 79.
Since I am not between 60 and 69, I must be a mulitple of 4.
Multiples of 4 between 70 and 79 are 72 and 76, but 72 is a multiple of 3.
I am 76.
Very nicely explained Jonathan. 76 is the answer.
ReplyDeletegood
ReplyDeleteI still don't get this and I'm in grade 6 and I'm doing this so I don't understand this math, can you please help me and say it in a more easier language.
ReplyDelete