2021 JMPSC Invitationals Problems/Problem 5: Difference between revisions
Created page with "==Problem== An <math>n</math>-pointed fork is a figure that consists of two parts: a handle that weighs <math>12</math> ounces and <math>n</math> "skewers" that each weigh a n..." |
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An <math>n</math>-pointed fork is a figure that consists of two parts: a handle that weighs <math>12</math> ounces and <math>n</math> "skewers" that each weigh a nonzero integer weight (in ounces). Suppose <math>n</math> is a positive integer such that there exists a fork with weight <math>n^2.</math> What is the sum of all possible values of <math>n</math>? | An <math>n</math>-pointed fork is a figure that consists of two parts: a handle that weighs <math>12</math> ounces and <math>n</math> "skewers" that each weigh a nonzero integer weight (in ounces). Suppose <math>n</math> is a positive integer such that there exists a fork with weight <math>n^2.</math> What is the sum of all possible values of <math>n</math>? | ||
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Revision as of 14:03, 11 July 2021
Problem
An 
-pointed fork is a figure that consists of two parts: a handle that weighs 
ounces and "skewers" that each weigh a nonzero integer weight (in ounces). Suppose is a positive integer such that there exists a fork with weight 
What is the sum of all possible values of ?
