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## Circle of Children

Math brain teasers require computations to solve.

 Puzzle ID: #23713 Fun: (2.82) Difficulty: (1.27) Category: Math Submitted By: sk8ergrl Corrected By: shenqiang

A number of children are standing in a circle. They are evenly spaced and the 7th child is directly opposite the 18th child. How many children are there altogether?

22; in half of the circle there are 11 children because 18-7=11. Multiply 11x2=22!
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 onlyeeyore Jun 15, 2005 As usual I got this math teaser the long way. I've got to bone up on my algebra! Riddlerman Jun 15, 2005 Algebra ain't anything to do with it. Just figure 10 kids either side of them (10) Double it as there are two sides (20), then add the two kids themselves (22) Bit EZ but i enjoyed it. Thanks. sk8ergrl Jun 15, 2005 riddle is right. There is nothing to do with Algebra. I'm glad everyone seems to like it BrUnEttEcUtiE Jun 15, 2005 We do these as bonus questions in school all the time! sweetime Jun 15, 2005 my brain hurts i got 20 but i'm not entirely sure how tamjp Jun 16, 2005 I needed the hint. but ast least then I got it! good one! PCDguitar Jun 17, 2005 good 1 even tho i dont understand y u need to subtract 7 from 18 to get 11 to multiplay it by two? Question_Mark Jun 17, 2005 Simple, but good. froggygg Jun 22, 2005 Good teaser! amanduh05 Jun 23, 2005 good 1 sk8ergrl Mar 20, 2006 Thanx!!! tintiniscool Aug 06, 2006 Fun! opqpop Sep 11, 2010 I'm such an idiot. I figured out there were 10 kids on the right, and then figured out there were 6 kids before the 7th kid on the left, and hence 4 kids after the 18th kid to the left, for a total of 18 + 4 = 22 kids. Then I realized I could have just doubled 10 and added 2. Sigh I'm ashamed of my stupidity. doctapeppaman Sep 27, 2012 The solution assumes that the children are arranged consecutively around the circle. Jimbo Jun 03, 2013 The question may be considered by solving a simpler problem. If 4 kids stand in a circle, 1 is opposite 3 and 2 is opposite 4. The difference in position is always 2. Double it to find the number. So 18 - 7 = 11. 2 * 11 = 22. Jimbo Jun 03, 2013 Good teaser BTW.