171k views
5 votes
The sum of four consecutive even integers is 180. what is the least integer?

User Adam Ness
by
8.4k points

1 Answer

6 votes

Final answer:

To find the least integer, use the equation x + (x + 2) + (x + 4) + (x + 6) = 180 and solve for x. The resulting value of x will be the least integer.

Step-by-step explanation:

To find the least integer, we need to determine the four consecutive even integers. Let's assume the first even integer is x. The second even integer would be x + 2, the third would be x + 4, and the fourth would be x + 6. The sum of these four integers is 180. So, we have the equation:

x + (x + 2) + (x + 4) + (x + 6) = 180

Simplifying the equation:

4x + 12 = 180

Subtracting 12 from both sides:

4x = 168

Dividing both sides by 4:

x = 42

Therefore, the least integer is 42.

User Pauline
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories