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The sum of the radii of two circles is 140 cm and the difference of their circumferences in 88 cm. Find the diameters of the circles.

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Let radius of circles be rand r2

Given sum of radius = 140cm

r1+r2=140 .......(i)

difference in circumferences=88

2πr1-2πr2=88

r2=63 cm in (ii) r1=63+14=77cm

Diameter of circle (i)=2r1=2x77=154cm

Diameter of circle (i)=2r2=2x63=126cm

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