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Help!

by kumard24 » Tue Mar 25, 2008 11:03 am
17. 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?
(A) 23x + 17y =19
(B) 17x –23y = 9
(C) 17x +23y =19
(D) 14x + 5y = 6
(E) 5x – 14y = -6

Can anyone work out the answer for the above question???
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by xilef » Tue Mar 25, 2008 1:53 pm
(n-5)/17=x => 17x+5=n
(n-14)/23=y => 23y+14=n
=>
17x+5=23y+14
17x-23y=9

Answer B.