skittles
School Math Nerd
Number of posts : 40
Age : 29
Location : Lost
Registration date : 2008-08-13
 | | Subject: Number Theory-ish Problem Wed Aug 13, 2008 6:17 pm | |
| Make more forums, Dojo.  Mr. Jones has eight children of different ages. On a family trip, his oldest child, who is age 9, spots a license plate with a 4-digit number in which each of two digits appears two times. "Look daddy!" she exclaims. "That number is evenly divisible by the age of each of us kids!" "That's right," replies Mr. Jones, "and the last two digits just happen to be my age." Which of the following is not the age of one of Mr. Jones's children? A. 4 B. 5 C. 6 D. 7 E. 8 Source: AMC 10 | |
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isabella2296
Admin
Number of posts : 45
Location : You'd really like to know, wouldn't you?
Registration date : 2008-08-16
| | Subject: Re: Number Theory-ish Problem Sat Aug 16, 2008 8:01 am | |
| Two Things: 1) It's "we kids" not "us kids". 2) I don't think this is possible to solve... | |
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herefishyfishy1
Developer
Number of posts : 36
Age : 29
Location : An insignificant little blue-green planet 93 million miles from the sun Sol.
Registration date : 2008-08-16
| | Subject: Re: Number Theory-ish Problem Sat Aug 16, 2008 8:09 am | |
| (1) It is "us kids" because the pronoun is the object of the preposition (yes, "of" is a preposition), and "us" is used in place of "we" whenever the word is an object.
(2) Why would an impossible problem be on the AMC 10?
(3) I'm way too interested with correcting grammar. | |
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isabella2296
Admin
Number of posts : 45
Location : You'd really like to know, wouldn't you?
Registration date : 2008-08-16
| | Subject: Re: Number Theory-ish Problem Sat Aug 16, 2008 8:12 am | |
| Could you please post the solution? It sounds like an awful lot of brute force to me... | |
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skittles
School Math Nerd
Number of posts : 40
Age : 29
Location : Lost
Registration date : 2008-08-13
| | Subject: Re: Number Theory-ish Problem Sat Aug 16, 2008 3:04 pm | |
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AIME15
Hardcore TMF user
Number of posts : 163
Age : 27
Location : Pleasanton, CA
Registration date : 2008-08-13
| | Subject: Re: Number Theory-ish Problem Sat Aug 16, 2008 5:46 pm | |
| Hey! I was still working on it!
I know i coudl have not read the answer, but i was tempted :DDD
nice problem. i took that in a practice test and had no clue
Oh yeah, and skittles, move this to the AMC 10/12 forum. | |
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| | Subject: Re: Number Theory-ish Problem | |
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