Question

the sum of the first and second of three consecutive even integers is 142. find the three even integers. three even integers are . (use a comma to separate answers as needed.)

Explanation:

Step1: Let the first even integer be $x$.

The second consecutive even integer is $x + 2$, and the third is $x+4$.

Step2: Set up the equation.

The sum of the first and second is 142, so $x+(x + 2)=142$.

Step3: Simplify the left - hand side of the equation.

Combining like terms gives $2x+2 = 142$.

Step4: Solve for $x$.

Subtract 2 from both sides: $2x=142 - 2=140$. Then divide both sides by 2, so $x = 70$.

Step5: Find the other two even integers.

The second even integer is $x + 2=70+2 = 72$, and the third is $x + 4=70+4=74$.

Answer:

70, 72, 74