Question

The sum of 4 consecutive even integers is 180. What are the integers? (Detailed Explanation)

Answer 1

Explanation:

Let the consecutive even numbers be 2n , (2n + 2) , (2n +4), (2n + 6)

2n + 2n+2 + 2n+4 + 2n+6 = 180

Add like terms

2n + 2n + 2n + 2n + 2 + 4 + 6 = 180

8n + 12 = 180

Subtract 12 from both sides

8n + 12 - 12 = 180 - 12

8n = 168

Divide both sides by 8

8n/8 = 168/8

n = 21

2n = 2*21 = 42

2n + 2= 2*21 +2 = 42 +2 = 44

2n +4 = 2*21 + 4 = 42 + 4 = 46

2n +6 = 2*21 + 6 = 42 + 6 = 48

The 4 consecutive even integers: 42, 44 , 46 , 48