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
B
62 degres
C
56 degrees
D
48 degrees

Solution

## The correct option is A 64 degreesSum 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 getTemp. on 5th day - Temp. on 1st = 8 degreesGiven, 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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