Question

Write an answer solve an equation to solve each problem. the sum of three consecutive integers is 63. Find the integers. If the smallest integer is x, the equation will be.

Answer 1

`\text{Integers: }20,\:21,\text{and }22,\\\\\text{Equation: }x+(x+1)+(x+2)=63`

Explanation:

Consecutive integers are defined by integers that follow each other. Therefore, we can set up the following equation:

Let
`x` be the smallest integer, as denoted in the question.

`x+(x+1)+(x+2)=63,\\x+x+1+x+2=63,\\3x+3=63,\\3x=60,\\x=20`

Therefore, the three integers are
`20,\:21,\text{and }22`.