Question

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

Short answer

The integers are $38,39$.

Step-by-step solution

Step 1. Given information

We have been given that the sum of two consecutive integers is 77.

We have to find the integers.

Step 2. Form the equations

Let the one integer be $x$

From the statement: The sum of two consecutive integers is 77 .

We get :

$x+(x+1)=77$

Step 3. Solve for the equations

Solve the equation for x,

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

Second number will be,

$$\begin{gathered} x+1 \\ =38+1 \\ =39 \end{gathered}$$