Question

How do you find three consecutive even integers such that the sum of the first, third, and twice the second is -16?

Answer 1

The three consecutive numbers are -6, -4, -2

Explanation:

Let the three consecutive integers be:
`color(white)("XXXX")` `(x-2), (x), and (x+2)`

We are told:
`color(white)("XXXX")` `(x-2)+(x+2)+2(x) = -16`

`rArr` `color(white)("XXXX")` `4x = -16`

`rArr` `color(white)("XXXX")` `x = -4`