Question

How do you find two consecutive odd numbers whose sum is 276?

Answer 1

The two consecutive odd numbers are `137` and `139`.

Explanation:

Consecutive means following continuously, or in an unbroken sequence.

An example of two consecutive odd numbers would be `1` and `3` or like `77` and `79`.

First, divide `276` by `2`:
`276/2 = 138`

That means `138 + 138 = 276`.

To make them two consecutive odd numbers, we can subtract `1` from one of the `138`s and add `1` to one of the `138`s:
`138 - 1 = 137`

`138 + 1 = 139`

When we add them up together, we still get `276`.

Therefore, the two consecutive odd numbers are `137` and `139`.

Hope this helps!

Answer 2

`137 and 139`

Explanation:

Let the two consecutive odd numbers be: `(2n-1) and (2n+1) : n in ZZ`

We are told that their sum is `276`

Hence, `(2n-1) + (2n+1) = 276`

`4n = 276 -> n = 69`

So, our first number is: `2xx69-1 = 137`

and the second number is: `139`