A faulty thermometer has its fixed points marked as `5^(@)` and `95^(@)`. The temperature of a bady as measured by the faulty therature is `59^(@)`. Find the correct temperature of the body on Celsisus scale.

Explanation

To find the correct temperature of the body on the Celsius scale using the faulty thermometer readings, we can follow these steps:

### Step 1: Identify the fixed points of the faulty thermometer.
The fixed points given are:
- Lower fixed point (LFP) = 5°C
- Upper fixed point (UFP) = 95°C

### Step 2: Identify the reading from the faulty thermometer.
The reading from the faulty thermometer is:
- Faulty reading (FR) = 59°C

### Step 3: Set up the equation using the linear relationship.
The relationship between the correct temperature (TC) and the faulty thermometer reading can be expressed as:
\[ \frac{TC - LFP}{UFP - LFP} = \frac{FR - LFP}{UFP - LFP} \]

Substituting the known values:
\[ \frac{TC - 5}{95 - 5} = \frac{59 - 5}{95 - 5} \]

### Step 4: Simplify the equation.
Calculating the denominator:
\[ UFP - LFP = 95 - 5 = 90 \]
Now, substituting this back into the equation:
\[ \frac{TC - 5}{90} = \frac{54}{90} \]

### Step 5: Cross-multiply to solve for TC.
Cross-multiplying gives:
\[ TC - 5 = 54 \]

### Step 6: Solve for TC.
Adding 5 to both sides:
\[ TC = 54 + 5 = 59 \]

### Step 7: Calculate the correct temperature.
Now we need to find the correct temperature:
\[ TC = \frac{54}{90} \times 100 \]

### Step 8: Simplify the fraction.
Calculating:
\[ TC = \frac{54 \times 100}{90} = \frac{5400}{90} = 60°C \]

Thus, the correct temperature of the body on the Celsius scale is **60°C**.

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