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The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?

Correct Answer: 64 degrees

Explanation:

Sum of temperatures on 1st, 2nd, 3rd and 4th days = (58 * 4) = 232 degrees ... (1)


Sum of temperatures on 2nd, 3rd, 4th and 5th days - (60 * 4) = 240 degrees  ....(2)


Subtracting (1) From (2), we get :


Temp, on 5th day  - Temp on 1st day  = 8 degrees.


Let the temperatures on 1st and 5th days be 7x and 8x degrees respectively.


Then, 8x - 7x = 8 or x = 8.


Temperature on the 5th day = 8x = 64 degrees.


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