Let r, R be radii of smaller and larger circles respectively.
Distance between centres = R+r=17 (i)
Sum of areas = (Pi*R^2)+(Pi*r^2) = 149*Pi
R^2 + r^2 = 149 (ii)
Using (R+r)^2 + (R-r)^2 = 2(R^2+r^2)
solve (i) and (ii)
R-r=3 (iii)
solve (i) and (iii)
R=10, r=7
Ratio of areas = (Pi*r^2)/(Pi*R^2) = 49:100
"The gaming of numbers is called maths.So participate in this wonderful game and explore in it,learn in it and enjoy in it.Then only you can pass in this wonderful game."
Kumar Purnendu
Success can be achieved by integration of small goals and differentiation of negative thoughts.