divide 56 into four parts such that they are in AP and the ratio of the product of thier extreme to the product of thier means is 5:6
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let the numbers be a-3d, a-d, a+d,a+3d
a-3d+a-d+a+d+a+3d=56
4a=56
a=14
also, (a-3d)(a-d) /(a+d)(a+3d)=5:6
(a2-4ad+3d2)/(a2+4ad+3d2)=5:6
(14*14-4*14*d+3d2)/(14*14+4*14*d+3d2)=5:6
(196-56d+3d2)/(196+56d+3d2)=5:6
rest of the part you can simply yourself sorry for the inconvenience
a-3d+a-d+a+d+a+3d=56
4a=56
a=14
also, (a-3d)(a-d) /(a+d)(a+3d)=5:6
(a2-4ad+3d2)/(a2+4ad+3d2)=5:6
(14*14-4*14*d+3d2)/(14*14+4*14*d+3d2)=5:6
(196-56d+3d2)/(196+56d+3d2)=5:6
rest of the part you can simply yourself sorry for the inconvenience
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