The sum of the radii of two circles is 7 cm (given)
Difference of circumferences of two circles is 8 cm (given)
Let radii of circles be x and (7-x)
Then,
2πx – 2π(7 – x) = 8
2πx – 14π + 2πx = 8
2πx = 26 …..(1)
Which is circumference of one circle.
Circumference of the another circles = 2π(7 – x) = 14π – 2πx
= 14π – 26
= 14 x 22/7 – 26
= 18
Therefore, Circumference of the circles are 26 cm and 18 cm.