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Amalia Crooks

Lvl 10
3y ago
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Wiki User

14y ago

It's impossible. 4 odd numbers cannot add up to 19. Nice try though.

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In the decimal numeral system, no 4 odd numbers will everadd up to an odd sum. This can be proven for any even-based numeral system, so the only solution would be to use an odd-based n. s., in which "19" would make sense. Therefore, the smallest base that can be used is 11, and a possible answer would be 1, 3, 3, and 12 (note that, in base-11, 12 is odd, and 11 = 2 * 6 is even!); another would be 5, 5, 5, 5; and then you can also use larger bases (e.g., 1, 3, 7, D is a solution in base 15).

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Q: What 4 odd numbers add up to 19?
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