Then: (x+2d)? = (x+d)y
x+y=37
x+d + x+2d =36
So: (x+2d)? =(x+d)(37-x); 2x+3d=36。
Therefore: 2x+3d+ 1=37.
So: (x+2d)? = (x+d)( 2x+3d+ 1-x)
Namely: (x+2d)? = (x+d)( x+3d+ 1)
So: x? +4dx+4d? =x? +3dx+x+dx+3d? +d
Therefore: x=d? -d becomes 2x+3d=36.
D: 2d? +d-36=0
Therefore: d=4 or d=-9/2.
(1) when d=4, x=d? -d = 12, so: y=25.
These four numbers are 12, 16, 20, 25.
(2) when d=-9/2, x=d? -d = 99/4, so: y=49/4.
These four numbers are 99/4, 8 1/4, 63/4 and 49/4.