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Question

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


A
64 degrees
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B
62 degres
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C
56 degrees
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D
48 degrees
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Solution

The correct option is A 64 degrees
Sum of temperatures on 1st, 2nd, 3rd and 4th days = (58 x 4) = 232 degrees     .....(1)
Sum of temperatures on 2nd, 3rd, 4th and 5th days  = (60 x 4) = 240 degrees     .....(2)
Subtracting equ (1) from equ (2), we get
Temp. on 5th day - Temp. on 1st = 8 degrees
Given, Temp. on 1st day : Temp. on 5th day = 7 : 8
$$\displaystyle \therefore $$ 8x - 7x = 8     $$\displaystyle \Rightarrow  $$     x = 8
$$\displaystyle \therefore  $$ Temperature on 5th day = 64 degrees.

Mathematics

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