Question

The sum of two consecutive even integers is 50. What are the numbers?

Answer 1

First even `=24`
Second even `=26`

Explanation:

let `2x` be the first even integer
let `2x+2` be the second even integer

`2x+(2x+2)=50`

`4x=48`

`x=12`

First even integer

`2x=2(12)=24`

Second even integer

`2x+2=2(12)+2=26`

God bless....I hope the explanation is useful.

Answer 2

`24, 26`

Explanation:

Note that even integers occur after every odd integer (`color(blue)(6)`, 7, `color(blue)(8)`). Let's write an equation.

One integer can be `n`. The other one must be `n + 2` since an even integer occurs every two numbers.

`n + (n+2) = 50`

This is our equation. We need to solve for `n`.

`2n + 2 = 50`

`2n = 48`

`n = 24`

We found that `n` is `24`. This means that the other even integer, `n+2`, is `26`. We can go ahead and add these values to see if it equals `50`.

`24 + 26 = 50`

It does equal `50`, so our numbers are correct.