Question

The sum of two consecutive even integers is 250. What are the numbers?

Answer 1

`124 and 126`

Explanation:

Any even number can be expressed in the form `2k, k in ZZ`.

The first number will be `2k` and the second `2(k+1)`.

`2k+2(k+1) = 250`

`4k+2=250`

`k = (250-2)/4 = 62`

Numbers are `2*62 = 124 and 2*63 = 126`