Correct Answer - Option 2 : 145°C
Given:
The average temperature of 3 days - Monday, Tuesday and Wednesday is 60°C.
The average temperature of Tuesday and Wednesday is 52.5° C.
The temperature on Wednesday was twice the temperature on Tuesday.
Concepts used:
Average temperature = (Sum of temperature on all days)/(Number of days)
Calculation:
Sum of temperature on Monday, Tuesday and Wednesday = 60°C × 3 = 180°
Sum of temperature on Tuesday and Wednesday = 52.5°C × 2 = 105°C
The temperature on Monday = Sum of temperature on Monday, Tuesday and Wednesday – Sum of temperature on Tuesday and Wednesday
⇒ Temperature on Monday = 180°C - 105°C = 75°C
Let the temperature on Wednesday and Tuesday be x°C and y°C respectively.
⇒ x = 2y ----(1)
So, x + y = 105°C ----(2)
Putting the value of x from eq (1) into eq (2),
⇒ 2y + y = 105°C
⇒ 3y = 105°C
⇒ y = 35°C
⇒ x = 2y = 2 × 35°C = 70°C
⇒ Sum of temperature on Monday and Wednesday = 75°C + 70°C = 145°C
∴ The sum of temperature on Monday and Wednesday is 145°C.
