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The difference in lengths of an iron and...

The difference in lengths of an iron and a copper rod, both at `50^(@)C " and " 450^(@)C`, is 2 cm. What are the lengths of the two rods at `0^(@)C`? [Given, `alpha_(Fe)=12 times 10^(-6@)C^(-1) " and " alpha_(Cu)=17 times 10^(-6@)C^(-1)`]

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The correct Answer is:
6.796 cm and 4.796 cm
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The difference in length of an iron rod and a copper rod at 50^(@)C is 2 cm. This difference remains the same also at 450^(@)C . What are the lengths of the rods at 0^(@)C ? Given, alpha for iron =12 times 10^(-6@)C^(-1) and alpha for copper =17 times 10^(-6@)C^(-1) .

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