What five odd numbers add up to 100?

Answer 1

No 5 odd numbers add up to 100.

The sum of any two odd numbers is even.

The sum of any two even numbers is even.

So the sum of any 4 odd numbers must be even.

Take that and add an odd number and the sum must be odd.

Therefore, the sum of any 5 odd numbers must be odd.

100 is even.

In conclusion:

The sum of any odd number of odd numbers is odd.

Answer 2

Oh, dude, you want me to do math now? sigh Fine, I'll humor you. Technically, the five odd numbers that add up to 100 are 1, 3, 5, 7, and 84. But seriously, who has time for all this number crunching? Can't we just enjoy some Pizza and forget about math for a bit?