Question

The sum of four consecutive even integers is 92. What are the four integers?

Answer 1

The four integers are 20, 22, 24, and 26

Answer 2

20,22,24,26

Explanation:

Let the four consecutive even integers be 2x - 2 ; 2x ; 2x + 2 ; 2x + 4

Sum of four consecutive integers = 92

2x - 2 + 2x + 2x+ 2 + 2x + 4 = 92

2x + 2x + 2x + 2x + 2 - 2 + 4 = 92

8x +4 = 92

8x = 92 - 4

8x = 88

x = 88/8

x = 11

2x -2 = 2*11 - 2

= 22 - 2

= 20

2x = 2*11

= 22

2x + 2 = 2*11 + 2

= 22 + 2

= 24

2x + 4 = 2*11 + 4

= 22 + 4

= 26

The four consecutive even integers are 20,22,24,26