Problem of the Week

A new problem every Monday that challenges participants of all ages to think creatively and apply their math skills. Perfect for a weekly mental challenge.

Relatively prime numbers are two or more numbers that share no common positive factors other than 1. An example of two relatively prime numbers is 115 and 266.  Since 266 and 115 are relatively prime, there are integers x and y with the smallest absolute values such that 115x + 266y = 1. 
Find the sum of x + y.
 


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