Thinko
Number Theory
Level
3
let x,y,z be three non negative integers such that x+y+z=10 . The maximum possible value of xyz+xy+yz+zx is
The answer is 69.
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1 solution
when x+y+z=10, then maximum values of x, y, z are with the minimum gap among them only when x, y, z are 3, 4, 3 where those may not respective necessarily! now puting the values, xyz+xy+yz+xz=69!