Question

The sum of two consecutive odd integers is 124, what are the integers?

Answer 1

`61` and `63`

Explanation:

An odd integer can be written as:
`(2n+1)`
If the odd integers are consecutive, then the next odd integer will be:
`(2(n+1)+1) = (2n+3)`

Given that the sum of these integers comes to `124` we can write an equation and then solve for `n`:

`(2n+1) + (2n+3)=124`
`4n+4 = 124`
`4n = 120`
`-> n = 30`.

That would mean that our odd integers are:

`2(30) +1` =61
and #2(30)+3 = 63

And of course `61+63=124`.