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# AB + CD = AAA, where AB and CD are two-digit numbers and AAA

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Current Student
Joined: 11 May 2008
Posts: 562
Followers: 7

Kudos [?]: 55 [0], given: 0

AB + CD = AAA, where AB and CD are two-digit numbers and AAA [#permalink]  28 Jul 2008, 09:44
AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?

(A) 1
(B) 3
(C) 7
(D) 9
(E) Cannot be determined
Senior Manager
Joined: 06 Apr 2008
Posts: 450
Followers: 1

Kudos [?]: 67 [0], given: 1

Re: what are the nos? [#permalink]  28 Jul 2008, 09:49
arjtryarjtry wrote:
AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?

(A) 1
(B) 3
(C) 7
(D) 9
(E) Cannot be determined

AAA has to be 111 since it is only 3 digit number with same digits which can be answer of sum of two two-digit numbers

Since AB is number with tens digit 1 so CD must be number with ten digits of 9 . Therefore C = 9

Current Student
Joined: 11 May 2008
Posts: 562
Followers: 7

Kudos [?]: 55 [0], given: 0

Re: what are the nos? [#permalink]  28 Jul 2008, 09:51
good one.correct
Director
Joined: 20 Sep 2006
Posts: 658
Followers: 2

Kudos [?]: 77 [0], given: 7

Re: what are the nos? [#permalink]  28 Jul 2008, 09:52
nmohindru wrote:
arjtryarjtry wrote:
AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?

(A) 1
(B) 3
(C) 7
(D) 9
(E) Cannot be determined

AAA has to be 111 since it is only 3 digit number with same digits which can be answer of sum of two two-digit numbers

Since AB is number with tens digit 1 so CD must be number with ten digits of 9 . Therefore C = 9

Thats right ... same explanation. another vote for D
Re: what are the nos?   [#permalink] 28 Jul 2008, 09:52
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