When the integer n is divided by 17，the quotient is x and the remainder is 5．Whe

游客2024-01-13 29

问题 When the integer n is divided by 17，the quotient is x and the remainder is 5．When n is divided by 23，the quotient is y and the remainder is 14．Which of the following is true?

选项 A、23x+17y=19
B、17x-23y=9
C、17x+23y=19
D、14x+5y=6
E、5x-14y=-6

答案 B

解析 It is given that n=17x + 5 and n = 23y + 14. It follows that 17x + 5 = 23y + 14, so 17x - 23y = 9.
The correct answer is B.

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