Question

Find three consecutive even integers such that the sum of the least integer and the middle integer is 24 more than the greatest integer.

Answer 1

26, 28, 30

Explanation:

there is a difference of 2 between consecutive even integers

let the integers be n , n + 2 , n + 4 , then

n + n+ 2 = n + 4 + 24

2n + 2 = n + 28 ( subtract n from both sides )

n + 2 = 28 ( subtract 2 from both sides )

n = 26

n + 2 = 26 + 2 = 28

n + 4 = 26 + 4 = 30

the 3 consecutive even integers are 26 , 28 , 30