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Scholar
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posted by  naladog on 10/8/2008 7:49:35 PM  |  status: Closed  

Consecutive integers

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Question Details:
The smaller of two concsecutive integers is 23 more than one fourth of the larger.  Find the Integers.
 
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Sage
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posted by rapunzel on 10/8/2008 8:03:05 PM  |  status: Live
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Response Details:
x=1st number
x+1 = 2nd number
   get rid of denominator by multiplying all by 4
4x=x+1+92                      subtract x from each side
3x=93                              divide each side by 3
x=31
the 2 numbers are 31 & 32
to check
31 the smaller number is 1/4 the larger number +23
31=8+23
Good Luck!
Guru
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posted by VietSpeed on 10/8/2008 8:04:01 PM  |  status: Live
Asker's Rating: Helpful   
Response Details:
x = 23 + (x + 1)/4

4x = 92 + x + 1

3x = 93

x = 31

so 31, 32

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