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KöMaL 2021 K700

    We have ten cards numbered 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10. The cards are placed on the table in a row, and their numbers are added up in sets of three: first the cards in positions 1, 2, 3; then those in positions 2, 3, 4; followed by positions 3, 4, 5; and so on; finally adding up the numbers on the cards in positions 8, 9, 10. The sums obtained in this way are 14, 18, 24, 23, 24, 21, 16, 12, in this order. What is the sum of the numbers on the cars in the first and last positions?

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