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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: 554

Kudos [?]: 232 [0], given: 0

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

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28 Jul 2008, 09:44
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Kudos [?]: 232 [0], given: 0

Senior Manager
Joined: 06 Apr 2008
Posts: 428

Kudos [?]: 170 [0], given: 1

Re: what are the nos? [#permalink]

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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

Answer is D)

Kudos [?]: 170 [0], given: 1

Current Student
Joined: 11 May 2008
Posts: 554

Kudos [?]: 232 [0], given: 0

Re: what are the nos? [#permalink]

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28 Jul 2008, 09:51
good one.correct

Kudos [?]: 232 [0], given: 0

Director
Joined: 20 Sep 2006
Posts: 653

Kudos [?]: 139 [0], given: 7

Re: what are the nos? [#permalink]

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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

Answer is D)

Thats right ... same explanation. another vote for D

Kudos [?]: 139 [0], given: 7

Re: what are the nos?   [#permalink] 28 Jul 2008, 09:52
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# AB + CD = AAA, where AB and CD are two-digit numbers and AAA

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