Question

How do you find two consecutive even integers that have a sum of 450?

Answer 1

The two numbers are `224" and "226`

Explanation:

Let the first even number be `n`

Then the next number is `n+1` which is odd.
Then the number after that is `n+2` which is even.

So the two even number are `n" and "n+2`

We are given that `n+n+2=450`

Subtract 2 from both sides

`2n=448`

Divide both sides by 2

`n=224`

`=>n+2=226`

So `"Left Hand side "->224+226->450`

So LHS -> RHS thus the two numbers are `224" and "226`