Question: Different answer for systems of equations - small bug?

 

If I try this

 

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solve({1*x+(1/2)*y+(1/6)*z =1,(1/2)*x+(1/6)*y+(1/24)*z =0,(1/6)*x+(1/24)*y+(1/120)*z =1}, {x,y,z} );

Maple 11 gives me the answer {x=63, y=-384, z=780}

However the book mathematical problem solving with computers (2002) maple 5.3 gives an answer of

{x=39, y=-216, z=420}

Although both work, the one the book gives is the one with the smallest numbers.  Why doesn't maple 11 return the same lowest possible number answer?  Shouldn't it?

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