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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 day was 60 degrees. If the temperatures of the first and fifth daysdere in the ratio 7:8, then what is the temperatures on the fifth day ?


Options:
A .  64 degrees
B .  62 degrees
C .  56 degrees
D .  None of these
Answer: Option A

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

sum of temperatures on 2nd, 3rd, 4th, and 5h days = 60 x 4 = 240 degrees ...............(ii)

subtracting (i) from (ii), we get :

Temp. on 5th day -   Temp. on 1s 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 = 8`x` =  64 degrees.



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