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

[attachment=0:4ibmfuof]fill in the numbers in circles.jpg[/attachment:4ibmfuof]
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March 5th, 2013, 07:39 AM   #2
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Re: fill in numbers in circles

4
four
IV
quatre

Obvious that 13,14,15 are in top row.
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March 6th, 2013, 01:25 AM   #3
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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]
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March 6th, 2013, 06:26 AM   #4
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Re: fill in numbers in circles

Yes, a6=4.
Now please fill in all the numbers in circles.
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March 6th, 2013, 06:50 AM   #5
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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.
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March 6th, 2013, 08:25 AM   #6
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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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