Question

The sum of two consecutive even integers is 54.find the integer

Answer 1

26 and 28.

Explanation:

An even integer can be written as:
`2k` for k an integer.

The sum of tow consecutive integers should equal 54:

`2k + 2(k+1) = 54\\4k + 2= 54\\4k = 52\\k = 13`

Given that k is 13, the two consecutive integers are 26 and 28.