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The 10 numbers from one to 10 are split into two groups the sum of the numbers in one group is N, and the product of the numbers in the other group is N. What is the largest possible value of N?

 Nov 9, 2022
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An exhaustive computer search show that the answer is 40:

2 + 3 + 5 + 6 + 7 + 8 + 9 = 40

1*4*10 = 40

 Nov 9, 2022

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