We know that 0°C is the same as 32°F. It is also a known fact that 100°C equals 212°F. But there is a temperature that gives the same reading on both Centigrade and Fahrenheit scales. Can you calculate this temperature?

**Solution:**

The formula which gives the relationship between Centigrade and Fahrenheit is:

**F = 9/5*C + 32**

To find the temperature which is same in both Centigrade and Fahrenheit scales. We have to find out the value of C or F by replacing C with F or F with C. By going through this idea we have a new equation from the above equation:

C = 9/5*C + 32

C – 9/5*C = 32

-4/5*C = 32

**C** = (-32*5)/4 =** -40**

F = 9/5*F + 32

F – 9/5*F = 32

-4/5*F = 32**F** = (-32*5)/4 =** -40**

Now we can say that at **-40 temperature** both Centigrade and Fahrenheit scales are same.

**Reference:**http://www.physlink.com/education/askexperts/ae51.cfm

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