Question

The sum of two consecutive integers is 77. Find the integers.

Short answer

The two integers are 38 and 39.

Step-by-step solution

Step 1. Given information

The sum of two consecutive integers is 77.

Step 2. Forming equation

Let the two consecutive integers are $x,x+1.$

then,$sum=77$

Step 3. Finding integers 

$$\begin{gathered} x+x+1=77 \\ 2x+1=77 \\ 2x=76 \\ x=38 \\ otherinteger=38+1=39 \end{gathered}$$