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

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Answer 1 · 2016-02-07T17:04:23

$61$ and $63$

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 $61+63=124$ .