The 3 integers I have in mind sum up to 35 and their product is 720.
Please find them.
Let the three integers be x, y and z
Then, x+y+z=35, xyz = 720
Putting x=3, we have:y+z= 32 and yz = 240
This easily solves as: (y,z) = (12,20)
Putting x=5, we have: y+z= 30 , yz =144
This gives: (y,z) = (6,24)
Putting x=-2, we have: y+z=37, yz=-360
This gives: (y, z) = (45, -8)
Therefore,
(x,y,z) = (-2,-8,45), (3, 12,20), (5,6,24) gives all possible ordered positive integer solutions to the given puzzle.
Edited on March 22, 2024, 12:41 pm
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