what is the smallest number that can be written as a sum of three natural numbers in two different ways?

the answer is 251

How about 11. (1 + 3 + 7) and (2 + 4 + 5) I can't swear that 11 is the smallest but it's smaller than 251.

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8 = 4 + 3 + 1

8 = 5 + 2 +1

Hi Geno, That's a good one, and I did think of it. I didn't submit it because,

although the problem isn't explicit about not using the same number in both

groups (i.e., the "1"), I imposed that limitation on myself.