My Math Forum fill in numbers in circles

 Algebra Pre-Algebra and Basic Algebra Math Forum

March 5th, 2013, 05:40 AM   #1
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fill in numbers in circles

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 March 5th, 2013, 07:39 AM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 Re: fill in numbers in circles 4 four IV quatre Obvious that 13,14,15 are in top row.
 March 6th, 2013, 01:25 AM #3 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond Re: fill in numbers in circles Hilite between lines to see triangle. ____________________________ [color=#E1EBF2]13 3 15 14 6 10 12 1 8 2 11 7 9 4 5[/color] _____________________________ $^{a _6\,=\,4}$ @denis:
 March 6th, 2013, 06:26 AM #4 Senior Member   Joined: Apr 2012 Posts: 799 Thanks: 1 Re: fill in numbers in circles Yes, a6=4. Now please fill in all the numbers in circles.
 March 6th, 2013, 06:50 AM #5 Global Moderator   Joined: Dec 2006 Posts: 20,931 Thanks: 2207 If a6 = 4, a4 > 5 is impossible, as calculating the remaining integers requires an integer greater than 15. It follows that a4 = 5, making the rest of the numbers easy to calculate.
 March 6th, 2013, 08:25 AM #6 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 Re: fill in numbers in circles Or: since a6 = 4, then 13>a5>8 (due to 1,2,3 as givens and 13,14,15 in top row); then, with "2" above a5, then a5 can only be 9 or 10. Rest follows as per Skip.

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