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Rod A, which is 30 cm long, expands by 0.045 cm when heated from 0°C to 100°C. Rod B, also 30 cm long expands by 0.075 cm for the same change in temperature. A third Rod C, also 30 cm long is made up of the materials of rod A and B, connected end to end. It expands by 0.065 cm when heated from 0°C to 100°C. find out the initial lengths of rods A and B in rod C.

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