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1. When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?





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  • By: guest on 01 Jun 2017 05.46 pm
    x = 13p + 11 and x = 17q + 9 13p + 11 = 17q + 9 17q - 13p = 2 q = 2 + 13p 17 The least value of p for which q = 2 + 13p is a whole number is p = 26 17 x = (13 x 26 + 11)    = (338 + 11)    = 349
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