**The Ratio of Readings**

The given problem states that the readings on a Celsius and Fahrenheit thermometer are in the ratio 2:5. This means that for every 2 degrees Celsius, there are 5 degrees Fahrenheit.

**Converting Ratios to Degrees**

To solve this problem, we need to determine the temperature of the bath. Let's assume that the temperature of the bath is x degrees Celsius.

Using the ratio given, we can set up the following equation to find the temperature in Fahrenheit:

2 degrees Celsius / 5 degrees Fahrenheit = x degrees Celsius / y degrees Fahrenheit

Simplifying the equation, we get:

2/5 = x/y

Cross-multiplying, we have:

2y = 5x

**Converting Celsius to Fahrenheit**

To convert the temperature from Celsius to Fahrenheit, we can use the formula:

F = (9/5)C + 32

Substituting the value of x from the equation above, we get:

F = (9/5)(2y/5) + 32

Simplifying further, we have:

F = (18y/25) + 32

**Determining the Temperature**

Now that we have the equation for Fahrenheit in terms of y, we can find the temperature of the bath by substituting the values of y. However, since we don't have the specific values, we can only express the temperature as a general equation.

Therefore, the temperature of the bath can be expressed as:

F = (18y/25) + 32

where y is any real number.

**Conclusion**

In conclusion, the temperature of the bath can be determined by using the given ratio of 2:5 between Celsius and Fahrenheit thermometer readings. By setting up an equation and converting the temperature from Celsius to Fahrenheit, we can express the temperature of the bath as a general equation using the variable y.

45.7 celcius