The sum of the radii of two circles is and the difference of their circumference is . Find the diameters of the circles.

Assume the radii of the two circles be  and

Then, the circumferences of the two circles be  and .

We know that, circumference of circle (C)

Given in the question that,

Sum of radii of two circles i.e.,  … (i)

Difference of their circumference,

….. (ii) 

Substituting the value of  in equation (i), we have,

Substituting the value of r₂ in equation (ii), we have,

Now,

Diameter of circle

Diameter of circle