19 Jun 2013

Find the Minimal Product xyz: Middle Secondary Mathematics Competition Question

Middle Secondary Level Competition Mathematics (Yellow)
Let x, y and z be positive integers that have a pairwise gcd(m,n)=1. Find all solutions (x, y, z) such that

x + 2y + 3z = 29

and

3x + 2y + z = 35

What is the minimum value of the product xyz?




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