Question
The average temperature for a week is recorded as
35.4°C. The difference between the highest and lowest temperatures during the week is 30°C. Additionally, the average temperature of the remaining five days (excluding the hottest and coolest days) is 34.76°C. Determine the temperature of the hottest day of the week.Solution
Let the temperature of the hottest and the coolest day of the week be 'ao C and 'bo C, respectively. Sum of the temperatures of the week = 35.4oC X 7 = 247.8 o C Sum of the temperatures of other five days of the week = 34.76o C X 5 = 173.8o C So, the sum of the temperature of the hottest and the coolest day of the week = 247.8 - 173.8 = 74o C So, (a + b) = 74o C..........(I) Or, (a - b) = 30o C.............(II) On adding both the equations, we get, Or, 2a = (104/2) = 52o C
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