How to calculate the radius of a right triangle, having the sum of the two inradios of rectangular triangles inscribed in the greater right triangle?

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Calculate the radius of the right triangle ABC, that is to say 'I'

If R + r = 20.

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The three rectangular triangles are similar. The inradio of a right triangle has met its legs and its hypotenuse. To equal everything to r, i can put R = 20-r

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$$20=R+r=\frac{AD+DF-AF}{2}+\frac{FE+EC-FC}{2}=\frac{AB+BC-AC}{2}=l$$