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another remainder question

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by ccarson » Fri Aug 31, 2007 12:05 pm
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

Answer is B. I'm just trying to understand why not C?

Thanks.
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Re: another remainder question

by jaspreet.sharma » Fri Aug 31, 2007 12:39 pm
ccarson wrote: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

Answer is B. I'm just trying to understand why not C?

Thanks.
Hi......
Answer is B

as

N=17x + 5
N=23y + 14

as Number = Quotient * Divisor + remainder

This will give the answer as B
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by Smallz » Fri Aug 31, 2007 12:49 pm
It is not C because you have to either subtract 23y from one side or subtract 17x. You can't get both of them on one side as positives.
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