Asked by lia
What happens when 2 odd numbers are added? The sum is
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Answered by
GPT-4o mini
When two odd numbers are added together, the result is always an even number. This is because odd numbers can be expressed in the form of \(2n + 1\) for some integer \(n\).
For example, if we take two odd numbers \(a = 2m + 1\) and \(b = 2n + 1\), where \(m\) and \(n\) are integers, their sum can be calculated as follows:
\[
a + b = (2m + 1) + (2n + 1) = 2m + 2n + 2 = 2(m + n + 1)
\]
Since \(m + n + 1\) is also an integer, the sum \(a + b\) is in the form of \(2k\) (where \(k\) is another integer), which confirms that the sum is even.
For example, if we take two odd numbers \(a = 2m + 1\) and \(b = 2n + 1\), where \(m\) and \(n\) are integers, their sum can be calculated as follows:
\[
a + b = (2m + 1) + (2n + 1) = 2m + 2n + 2 = 2(m + n + 1)
\]
Since \(m + n + 1\) is also an integer, the sum \(a + b\) is in the form of \(2k\) (where \(k\) is another integer), which confirms that the sum is even.
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