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

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Answer 1 · 2018-05-27T06:28:09

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

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 · 2018-05-27T06:29:20

$137 and 139$

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: $139$