9. The area of the ring between two concentric circles is 3168 cm. Find the radit of the two circles if (i) their sum is 42 cm and (ii) their difference is 28 cm.
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Let the two radius be 'x' and 'y'
x + y = 42 .... (1)
and
x - y = 28 .... (2)
Adding (1) and (2), we get
2x = 70
=> x = 70/2
x = 35 .... (3)
Putting (3) in (1), we get
35 + y = 42
=> y = 42 - 35
y = 7
Hence, Radius of two concentric circles are 35 cm and 7 cm.
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