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Average temperature of Tuesday to Thursday was 38 degree celsius and that Wednesday to Friday was 37 degree celsius. If the temperature on Friday was 39 degree celsius. The temperature on Tuesday was?
- a)38 degree celsius
- b)36 degree celsius
- c)42 degree celsius
- d)39 degree celsius
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Average temperature of Tuesday to Thursday was 38 degree celsius and t...
Let temperature of tuesday = a, temper a tur e of wednesday = b and temperature of thursday = c
Sum of temperatures of tuesday to thursday = 38 × 3 =114
∴ a + b + c = 114
Sum of temperatures of wednesday to friday = 37 × 3 = 111
b + c + friday = 111
∴ Temperature of friday = 39
∴ b + c + 39 = 111
∴ b + c = (111– 39) = 72
∴ a + b + c = 114
a + 72 = 114
∴ a = (114 – 72) = 42
∴ Temperature on tuesday = 42°C
Sum of temperatures of tuesday to thursday = 38 × 3 =114
∴ a + b + c = 114
Sum of temperatures of wednesday to friday = 37 × 3 = 111
b + c + friday = 111
∴ Temperature of friday = 39
∴ b + c + 39 = 111
∴ b + c = (111– 39) = 72
∴ a + b + c = 114
a + 72 = 114
∴ a = (114 – 72) = 42
∴ Temperature on tuesday = 42°C
Most Upvoted Answer
Average temperature of Tuesday to Thursday was 38 degree celsius and t...
To solve this problem, let's assume the temperature on Tuesday is T1, on Wednesday is T2, on Thursday is T3, and on Friday is T4.
Given:
The average temperature from Tuesday to Thursday is 38 degrees Celsius.
This can be expressed as (T1 + T2 + T3) / 3 = 38.
The average temperature from Wednesday to Friday is 37 degrees Celsius.
This can be expressed as (T2 + T3 + T4) / 3 = 37.
The temperature on Friday is 39 degrees Celsius.
So, T4 = 39.
We need to find the temperature on Tuesday, which is T1.
Let's solve the equations step by step:
1. From the first equation, we can express T3 in terms of T1:
T1 + T2 + T3 = 114 (multiplying both sides by 3)
T3 = 114 - T1 - T2
2. Substitute the value of T3 in the second equation:
(T2 + 114 - T1 - T2 + T4) / 3 = 37
(114 - T1 + T4) / 3 = 37
114 - T1 + T4 = 111 (multiplying both sides by 3)
T4 - T1 = 111 - 114
T4 - T1 = -3
3. Substitute the value of T4:
39 - T1 = -3
T1 = 39 + 3
T1 = 42
Therefore, the temperature on Tuesday was 42 degrees Celsius.
Given:
The average temperature from Tuesday to Thursday is 38 degrees Celsius.
This can be expressed as (T1 + T2 + T3) / 3 = 38.
The average temperature from Wednesday to Friday is 37 degrees Celsius.
This can be expressed as (T2 + T3 + T4) / 3 = 37.
The temperature on Friday is 39 degrees Celsius.
So, T4 = 39.
We need to find the temperature on Tuesday, which is T1.
Let's solve the equations step by step:
1. From the first equation, we can express T3 in terms of T1:
T1 + T2 + T3 = 114 (multiplying both sides by 3)
T3 = 114 - T1 - T2
2. Substitute the value of T3 in the second equation:
(T2 + 114 - T1 - T2 + T4) / 3 = 37
(114 - T1 + T4) / 3 = 37
114 - T1 + T4 = 111 (multiplying both sides by 3)
T4 - T1 = 111 - 114
T4 - T1 = -3
3. Substitute the value of T4:
39 - T1 = -3
T1 = 39 + 3
T1 = 42
Therefore, the temperature on Tuesday was 42 degrees Celsius.
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Average temperature of Tuesday to Thursday was 38 degree celsius and that Wednesday to Friday was 37 degree celsius. If the temperature on Friday was 39 degree celsius. The temperature on Tuesday was?a)38 degree celsiusb)36 degree celsiusc)42 degree celsiusd)39 degree celsiusCorrect answer is option 'C'. Can you explain this answer?
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