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

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24 May 2007, 18:18

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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 postive integers. In the addition problem above,what is the value of C?

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 postive integers. In the addition problem above,what is the value of C?

the maximum three digit number can be 97+86=183 => A is 1 and the number is 111
we have 1B+CD=111 B can't be 0 or 1

This is a tough question, but I think the answer is 9. My reasoning is as follows

AB, CD are two 2 digit numbers, and AAA is a 3 digit number, so adding two 2 digit numbers can only give you AAA = 111 because A, B, C, D are to be distinct.
From this, we know that A = 1 so AB = 1B where B could be 0,2,3,4,5,6,7,8,9.
In any case, we wont worry about B at this stage. Now thinking logically, the only way we can get a result of 111 (AAA) is by adding a number in the nineties with a number in the tens, therefore, C = 9.
For example, A = 1, B = 7, D = 4, C= 9
therefore, AB + CD = 17(AB)+94(CD) = 111 (AAA)
I hope this helps

haha..i know...i might as well think faster too...while m at it!!

Sergey and Saurster..you guys seem to be doing too good!!! Are you guys already done with GMAT or yet to appear for it? Seems you are in 780+ league!
ANy suggestions on how to improve CR and RC. THough I assume, CR should be natural!

haha..i know...i might as well think faster too...while m at it!!

Sergey and Saurster..you guys seem to be doing too good!!! Are you guys already done with GMAT or yet to appear for it? Seems you are in 780+ league! ANy suggestions on how to improve CR and RC. THough I assume, CR should be natural!

To be honest I'm a college student who is graduating in 3 semesters. I started studying for GMAT about a 1.5 months ago. When I took my first diagnostics test (OG 11) I got 2 out 24 questions correct. Since then I've been studying every day (2-4hours a day) and my math improved a lot. I'm taking GMAT in 2-3 months. English is my second language so I'll need more time preparing for my Verbal. I haven't started studying for my Verbal yet, so I can't really give you any advice I have a lot of prep material and posted it for you guys at http://www.gmatclub.com/phpbb/viewtopic ... 7&start=20 There are a lot of good notes posted by people who scored high. I'd recommend to read those notes, there are some good suggestion on how to improve your RC and CR.
Hopefully it helps.
Sergey

haha..i know...i might as well think faster too...while m at it!!

Sergey and Saurster..you guys seem to be doing too good!!! Are you guys already done with GMAT or yet to appear for it? Seems you are in 780+ league! ANy suggestions on how to improve CR and RC. THough I assume, CR should be natural!

To be honest I'm a college student who is graduating in 3 semesters. I started studying for GMAT about a 1.5 months ago. When I took my first diagnostics test (OG 11) I got 2 out 24 questions correct. Since then I've been studying every day (2-4hours a day) and my math improved a lot. I'm taking GMAT in 2-3 months. English is my second language so I'll need more time preparing for my Verbal. I haven't started studying for my Verbal yet, so I can't really give you any advice I have a lot of prep material and posted it for you guys at http://www.gmatclub.com/phpbb/viewtopic ... 7&start=20 There are a lot of good notes posted by people who scored high. I'd recommend to read those notes, there are some good suggestion on how to improve your RC and CR. Hopefully it helps. Sergey