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At what temperature will both the Celsiu...

At what temperature will both the Celsius and Fahrenheit scales read the same value?

Text Solution

Verified by Experts

`F=((9)/(5)C)+32`
Let at `x^(@)`, both Celsius and Fahrenheit scale read same.
`therefore" "F=C=x`
`therefore" "x=((9)/(5)x)+32`
`rArr" "5x=9x+160rArr4x=-160 or x=-40^(@)`
`therefore" "-40^(@)C=-40F`
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