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The three-digit integer mkk is the sum of the two-digit

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Joined: 11 May 2008
Posts: 553
The three-digit integer mkk is the sum of the two-digit [#permalink]

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New post 25 Jul 2008, 17:19
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

The three-digit integer mkk is the sum of the two-digit integers mk and nk, where k, m, and n are the digits of the integers. Which of the following must be true?
I. m= 1
II. n = 9
III. k= 5
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III
Director
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Re: unknown integers [#permalink]

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New post 25 Jul 2008, 17:40
IMO D,


k + k = k (in unit place) the only possible value of k is 0.
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Re: unknown integers [#permalink]

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New post 25 Jul 2008, 20:49
arjtryarjtry wrote:
The three-digit integer mkk is the sum of the two-digit integers mk and nk, where k, m, and n are the digits of the integers. Which of the following must be true?
I. m= 1
II. n = 9
III. k= 5
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III


when we form equations we get
90m+9k-10n=0
inorder this to be true : only possible set of integers is {m,k,n}={1,0,9}
hence I and II
hence D is the answer
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Re: unknown integers   [#permalink] 25 Jul 2008, 20:49
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The three-digit integer mkk is the sum of the two-digit

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