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Arithmagons

Asked: 10 months ago

What is arithmagon?

An arithmagon is a polygon with numbers at its vertices which determine the numbers written on its edges.

Total in the square is a sum of two circles where square is attached.

arithmagon

Find out values in the circle.

Solving a problem

Let's say top vertex is x and moving in clockwise bottom right vertex is y and then bottom left is z as shown in the figure below:

arithmagon

Let's assume:


Let's take two equation to solve the problem


Now, we can say following:

if


Adding x value in equation so that


Now, that we have value of z we can find all values


Now, we have y=1 solve the following equation and get x

Now, we have x=9 solve the following equation and get x


Let's place our values in circles and test the answer:

arithmagon

This math problem can be solved in different ways to checkout other ways check the following link:

Reference: nrich.maths.org

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