Answer:
[tex]\text{Integers: }20,\:21,\text{and }22,\\\\\text{Equation: }x+(x+1)+(x+2)=63[/tex]
Step-by-step explanation:
Consecutive integers are defined by integers that follow each other. Therefore, we can set up the following equation:
Let [tex]x[/tex] be the smallest integer, as denoted in the question.
[tex]x+(x+1)+(x+2)=63,\\x+x+1+x+2=63,\\3x+3=63,\\3x=60,\\x=20[/tex]
Therefore, the three integers are [tex]20,\:21,\text{and }22[/tex].
