What is the sum of two consecutive even integers divided by four is 189.5?

Let us denote the smaller even integer by .
Then, the next even integer must be .

To verify, set as any even number, say .
Then, the next even integer must be 2 more than this number, i.e. .

The sum of these two consecutive even integers can be expressed as:
                                   

We are told that this sum divided by four is 189.5, i.e.
                                    

Multiplying both sides by 4 will reverse the division:
    
    

Subtracting 2 from each side will reverse the addition:
    
    

Dividing both sides by 2 will reverse the multiplication:
    
    

Therefore, the two consecutive integers must be 378 and 380.

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