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Q: What two numbers form a sum of 70 and a difference of 378?

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The sum of the numbers 1 through 27 is 378.

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It is impossible to add nine consecutive whole numbers to make 375. The results closest to 375 are the sum of the numbers 37 to 45 (369), and the sum of the numbers 38 to 46 (378).

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You cannot. The sum and difference cannot be the same for any pair of non-zero numbers.

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The numbers are 7 and 6

501

Sum = 109 Difference = 89