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.

It is a well-known fact that for any two positive integers a and b, there are integers x and y so that ax + by = gcd(a,b) Find integer y so that 1234x + 5432y = gcd(1234,5432).  (gcd is greatest common divisor). 

Problem submitted by Pat Costello, Eastern Kentucky University

 


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