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Circle

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Dee-M-See | 10:49 Tue 18th Jul 2006 | Quizzes & Puzzles
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Children playing a game are evenly spaced in a circle the 6th Child is directly opposite the 20th,how many children in the circle
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Avatar Image Dsg
By deduction the 1st is opposite the 15th - so there are 13 between 1st & 15th and so 13 between 15th & 1st.

So 13*2 plus 1st plus 15th = 28
11:04 Tue 18th Jul 2006
Avatar Image crofter
I agree with Dsg in that there are 28.

I would solve it a little differently. Picture the usual clock face with its 12 numbers. Note that 12 and 6 are opposite as are 1 and 7. In fact, all "Opposites" have a difference of 6 (= half 12).

Since 6 and 20 have a difference of 14, which doubles up to 28, there must be 28 children in the circle.
11:14 Tue 18th Jul 2006
Avatar Image BabsG
Gosh. I wish I had a mathematical brain. Well done you two.
14:33 Tue 18th Jul 2006
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Thankyou for your answers I had worked it out to 28 but wasnt sure I was right(Oh ye of little faith)
22:46 Tue 18th Jul 2006

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