The sum of two consecutive integers is 37. Find the number. 

Step 1. Let  be the first integer. 

Step 2. Let  be the next consecutive integer 

Step 3. Then  since the their sum is 37. 

Step 4. Solving the equation in Step 3 yields the following steps 

Subtract 1 from both sides of the equation 

Divide by 2 to both sides of the equation 

 and  and note their sum is 37 as a check. 

Step 5. ANSWER: The two consecutive integers are 18 and 19.