The efficiency of a Carnot engine is 1/2. If the sink temperature is reduced by `100^@ C` , then engine efficiency becomes 2/3. Find the source temperature and sink temperature.

Explanation

To solve the problem, we need to find the source temperature (T1) and the sink temperature (T2) of a Carnot engine given its efficiencies at two different conditions.

### Step-by-Step Solution:

1. **Understanding the Efficiency of a Carnot Engine**:
The efficiency (η) of a Carnot engine is given by the formula:
\[
\eta = 1 - \frac{T_2}{T_1}
...