What is the temperature on temperature on Thursday.?
A. Average temperature for Monday, Tuesday and Wednesday is `34^(@)C.`
B. Average temperatue for Tuesday, Wednesday and Thursday is `38^(@)C.`

Options

A. if the data instatement A alone is sufficient to answer the question.
B. if the data in statement B alone is sufficient to answer the question.
C. if the data either in statement A alone or instatement B alone is suffieient to answer the question
D. if the data given in both statements A and B together are not sufficient to answer the question.

Explanation

To determine the temperature on Thursday, we will analyze the information provided in the two statements step by step.

### Given Information:
We need to find the temperature on Thursday.

### Statements:
1. The average temperature for Monday, Tuesday, and Wednesday is 34°C.
2. The average temperature for Tuesday, Wednesday, and Thursday is 38°C.

### Step 1: Analyze Statement A
From Statement A, we know:
- Average temperature for Monday, Tuesday, and Wednesday = 34°C
- Let the temperatures for Monday, Tuesday, and Wednesday be M, T, and W respectively.

Using the formula for average:
\[ \frac{M + T + W}{3} = 34 \]
Multiplying both sides by 3:
\[ M + T + W = 102 \quad \text{(Equation 1)} \]

### Step 2: Analyze Statement B
From Statement B, we know:
- Average temperature for Tuesday, Wednesday, and Thursday = 38°C
- Let the temperature for Thursday be Th.

Using the formula for average:
\[ \frac{T + W + Th}{3} = 38 \]
Multiplying both sides by 3:
\[ T + W + Th = 114 \quad \text{(Equation 2)} \]

### Step 3: Combine the Information
Now we have two equations:
1. \( M + T + W = 102 \) (Equation 1)
2. \( T + W + Th = 114 \) (Equation 2)

### Step 4: Isolate the Variables
From Equation 1, we can express \( T + W \) in terms of M:
\[ T + W = 102 - M \quad \text{(Equation 3)} \]

Substituting Equation 3 into Equation 2:
\[ (102 - M) + Th = 114 \]
Rearranging gives:
\[ Th = 114 - (102 - M) \]
\[ Th = 12 + M \]

### Step 5: Conclusion
We have expressed the temperature on Thursday (Th) in terms of Monday's temperature (M):
\[ Th = 12 + M \]
Since we do not have a specific value for M, we cannot determine the exact temperature for Thursday. Therefore, we cannot answer the question with the information given in both statements.

### Final Answer
The data given in both statements A and B together are not sufficient to answer the question about the temperature on Thursday.