All I am getting is x + x+2 + x + 4 = (x + 4) squared minus 60
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Let numbers be 2n-1, 2n+1 and 2n+3 where n is an integer.

6n+3=(2n+3)^2-60; 6n+3=4n^2+12n+9-60; 4n^2+6n-54=0; 2n^2+3n-27=0

(2n+9)(n-3)=0, so n=-9/2 or 3. But n is an integer so n=3 and the numbers are: 5, 7, 9.

CHECK: 5+7+9=21=81-60 OK.
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