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# When the integer n is divided by 17, the quotient is x and the remaind

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Math Expert
Joined: 02 Sep 2009
Posts: 55668
When the integer n is divided by 17, the quotient is x and the remaind  [#permalink]

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09 Jan 2019, 02:57
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Difficulty:

15% (low)

Question Stats:

86% (01:24) correct 14% (01:05) wrong based on 40 sessions

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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

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Location: Pune, India
Re: When the integer n is divided by 17, the quotient is x and the remaind  [#permalink]

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09 Jan 2019, 03:04
Bunuel wrote:
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

"When the integer n is divided by 17, the quotient is x and the remainder is 5"
n = 17x + 5

"When n is divided by 23, the quotient is y and the remainder is 14"
n = 23y + 14

17x + 5 = 23y + 14 = n
17x - 23y = 9

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Karishma
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Re: When the integer n is divided by 17, the quotient is x and the remaind  [#permalink]

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09 Jan 2019, 04:45
Bunuel wrote:
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

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

When n is divided by 23, the quotient is y and the remainder is 14
n = 23y +14

On comparing both sides
23y +14 = 17x + 5
17x – 23y = 9

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Re: When the integer n is divided by 17, the quotient is x and the remaind   [#permalink] 09 Jan 2019, 04:45
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