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Omni-MATH / When the three-digit positive integer N is divided by 10, 11, or 12, the remainder is 7. What is the sum of the digits of N?

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problem

When the three-digit positive integer NN is divided by 10, 11, or 12, the remainder is 7. What is the sum of the digits of NN?
Plain-text mathematical notation (without MathML)
When the three-digit positive integer N is divided by 10, 11, or 12, the remainder is 7. What is the sum of the digits of N?
Original LaTeX notation
When the three-digit positive integer $N$ is divided by 10, 11, or 12, the remainder is 7. What is the sum of the digits of $N$?

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