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In a magic triangle, each of the six whole numbers 10-15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. What is the alrgest possible vaulve of S?

 Jan 26, 2020
 #1
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+1

38 

I did it as follows: 

                                                    11

                                               12      14

                                            15     10     13 

Each side adds up to 38

 Jan 26, 2020
 #2
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+1

Actually, the correct answer is 40 according to AOPS: https://artofproblemsolving.com/wiki/index.php/1985_AJHSME_Problems/Problem_24

Guest Jan 26, 2020
 #3
avatar+177 
+1

thank u so much!

xxJenny1213xx  Jan 26, 2020
 #4
avatar+108624 
+1

I believe you have read the answer on that site incorrectly.  

That site does not claim the answer to be 40

Melody  Jan 26, 2020
 #5
avatar+177 
+1

yes, its 39

xxJenny1213xx  Jan 27, 2020
 #6
avatar+108624 
0

It was good that guest2 found the site and good that guest1 looked for his/her own solution.

Thanks to both of you.

 

Maybe you are the same guest lol

Melody  Jan 27, 2020

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