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

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AB + CD = AAA, where AB and CD are two-digit numbers and AAA [#permalink] New post 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
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Re: what are the nos? [#permalink] New post 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)
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Re: what are the nos? [#permalink] New post 28 Jul 2008, 09:51
:lol: good one.correct
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Re: what are the nos? [#permalink] New post 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
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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