Question

The sum of three consecutive integers is 60. Find the integers.

Short answer

The three consecutive integers are 19, 20, 21.

Step-by-step solution

Step 1. Given information

The sum of three consecutive integers is 60.

Step 2. Forming Linear equation

Let the three consecutive integers are$x,x+1,x+2.$

Their sum$=60$

$x+\left(x+1\right)+\left(x+2\right)=60$

Step 3. Solving equation

$$\begin{gathered} 3x+3=60 \\ 3x=60-3=57 \\ x=19 \\ Secondintegers=x+1=20 \\ Thirdintegers=x+2=21 \end{gathered}$$