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what number?

 
 
Reply Sun 26 Dec, 2004 09:20 am
I consist of three two-digit segments, i.e. the form XX XX XX.
All three numbers are divisible by the same digit.
If the middle number is even the other two must be odd.
If the middle number is odd the other must be even.
The sum of all three numbers is the reverse of the first number.
The third number with digits reversed is double the middle
number.


What number can XX XX XX be?

whim
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Type: Discussion • Score: 1 • Views: 632 • Replies: 4
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markr
 
  1  
Reply Sun 26 Dec, 2004 11:40 am
09 18 63
0 Replies
 
whimsical
 
  1  
Reply Mon 27 Dec, 2004 12:24 pm
That's one, there are more solutions.


whim
0 Replies
 
markr
 
  1  
Reply Tue 28 Dec, 2004 12:16 am
All pairs divisible by 9:
09 18 63

All pairs divisible by 3:
18 03 60
03 06 21
69 06 21

All pairs divisible by 1:
25 06 21
47 06 21
16 21 24
38 21 24
07 36 27
29 36 27
0 Replies
 
whimsical
 
  1  
Reply Tue 28 Dec, 2004 10:07 am
Smile I can count on you mark...

Whim
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