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Jai alai balls come in boxes of 8 and 17, so that 25 balls (one small box and one large box) can be purchased without having to break open a box, but 26 balls cannot. Find the maximum number of balls that cannot be bought without breaking boxes.

 Dec 29, 2021
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Largest such number = 111
(1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 26, 27, 28, 29, 30, 31, 35, 36, 37, 38, 39, 43, 44, 45, 46, 47, 52, 53, 54, 55, 60, 61, 62, 63, 69, 70, 71, 77, 78, 79, 86, 87, 94, 95, 103, 111) >Numbers you CANNOT make up


(8, 16, 17, 24, 25, 32, 33, 34, 40, 41, 42, 48, 49, 50, 51, 56, 57, 58, 59, 64, 65, 66, 67, 68, 72, 73, 74, 75, 76, 80, 81, 82, 83, 84, 85, 88, 89, 90, 91, 92, 93, 96, 97, 98, 99, 100, 101, 102, 104, 105, 106, 107, 108, 109, 110, 112, 113, 114, 115..........etc.) >Numbers you CAN make up 

 Dec 29, 2021

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