On 24th May, 2008 the maximum temperature of Delhi, Kolkata and Mumbai were recorded as 35°C, 33°C and 34°C respectively. What was the maximum temperature of Chennai so that the average maximum temperature of those cities would be 35°?

Options

A. a) `34^(@)C`
B. b) `35^(@)C`
C. c) `36^(@)C`
D. d) `38^(@)C`

Answer

To find the maximum temperature of Chennai so that the average maximum temperature of Delhi, Kolkata, Mumbai, and Chennai is 35°C, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the temperatures of the three cities:**
- Delhi (D) = 35°C
- Kolkata (K) = 33°C
- Mumbai (M) = 34°C

2. **Set up the equation for the average temperature:**
The average temperature of the four cities (Delhi, Kolkata, Mumbai, and Chennai) should be 35°C. The formula for average is:
\[ \text{Average} = \frac{D + K + M + C}{4} \]
where \(C\) is the temperature of Chennai.

3. **Substitute the known values into the average formula:**
\[ 35 = \frac{35 + 33 + 34 + C}{4} \]

4. **Multiply both sides by 4 to eliminate the denominator:**
\[ 140 = 35 + 33 + 34 + C \]

5. **Calculate the sum of the temperatures of Delhi, Kolkata, and Mumbai:**
\[ 35 + 33 + 34 = 102 \]

6. **Substitute this sum back into the equation:**
\[ 140 = 102 + C \]

7. **Solve for \(C\):**
\[ C = 140 - 102 \]
\[ C = 38 \]

Thus, the maximum temperature of Chennai should be **38°C**.