Example of Three Consecutive Integers problem

The sum of three consecutive integers is 135. What are the integers.

Find FIRST

Find SECOND

Find THIRD

Let F=FIRST

Let S=SECOND

Let T=THIRD

Given F+S+T=135

Given S=F+1

Given T=F+2

F+F+1+F+2=135

F+F+1+F+2=135 Comment: Substitute F+2 for S in F+F+1+F+2=135

F+F+1+F+2=135 Comment: Substitute F+1 for T in F+F+1+F+2=135

Solution F=44 Comment

Solution S=45 Substitute F=44 into S=F+1

Solution T=46 Substitute F=44 into T=F+2

End