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Let us say two odd numbers are p and q. And we know that sum of two odd numbers is always even. But the average of two odd numbers is not always even.

Average of p and q = (p+q)/2 = even number/2 = odd or even.

Two examples will make it clear.

e.g. Average of 5 and 1 = (5+1)/2 = 6/2 = 3(odd number)

Average of 3 and 5 = (3+5)/2 = 8/2 = 4(even number)

So, average of two odd numbers can be even or odd.

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Q: What is the average of two odd numbers?
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