Question : In a week, the average temperature on Sunday and Monday is 37.2°C. The average temperature on Tuesday and Wednesday is 39.4°C. Find the temperature on Sunday if the average temperature on Monday, Tuesday and Wednesday is 38.1°C.
Option 1: 39° C
Option 2: 39.1° C
Option 3: 38.9° C
Option 4: 38.8° C
Correct Answer: 38.9° C
Solution :
The average temperature of Sunday and Monday $=37.2^\circ$
The sum of the temperature of Sunday and Monday $=2\times37.2^\circ=74.4^\circ$
The average temperature of Tuesday and Wednesday $=39.4^\circ$
The sum of the temperature of Tuesday and Wednesday $=2\times39.4^\circ=78.8^\circ$
The average temperature of Monday, Tuesday and Wednesday $=38.1^\circ$
The sum of the temperature of Monday, Tuesday and Wednesday $=3\times38.1^\circ=114.3^\circ$
The temperature on Sunday = (the sum of the temperatures of Sunday, Monday, Tuesday and Wednesday) – (the sum of the temperature on Monday, Tuesday and Wednesday)
$=74.4^\circ+78.8^\circ-114.3^\circ$
$=38.9^\circ $
Hence, the correct answer is 38.9° C.
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