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

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Answer 1 · 2016-05-19T13:28:52

The two numbers are $224" and "226$

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 $224" and "226$