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To make sure the smallest number is odd, call it (2x-1), which has to be odd.

Four consecutive odd numbers are . . . (2x-1) + (2x+1) + (2x+3) + (2x+5) = 19

8x + 8 = 19

8x = 11

x = 11/8

There is no solution that satisfies the conditions given in the question.

We should have suspected this as soon as we read the question, because we know that
an even number of odd numbers can't add up to an odd number.

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โˆ™ 2009-09-29 23:18:24
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Q: What four odd digits will add up to nineteen?
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