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# If A,B and C are digits and AB is not 0, what is the value

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VP
Joined: 30 Jun 2008
Posts: 1019
If A,B and C are digits and AB is not 0, what is the value [#permalink]

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01 Nov 2008, 09:07
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If A,B and C are digits and AB is not 0, what is the value of B ?

(1) AB + BA = AAC

(2) A = 1

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Current Student
Joined: 28 Dec 2004
Posts: 3311
Location: New York City
Schools: Wharton'11 HBS'12
Re: DS : KAPLAN : What is B ? [#permalink]

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01 Nov 2008, 09:15
amitdgr wrote:
If A,B and C are digits and AB is not 0, what is the value of B ?

(1) AB + BC = AAC

(2) A = 1

AB
BC
---
AAC

its obvious from 1) that A=1 any 2 digit number will give u 1XX at most..

AB
BC
----
11C

19
92
--
111

B is 9 ...1 is sufficient

A it is
Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown
Re: DS : KAPLAN : What is B ? [#permalink]

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01 Nov 2008, 09:22
fresinha12 wrote:
amitdgr wrote:
If A,B and C are digits and AB is not 0, what is the value of B ?

(1) AB + BC = AAC

(2) A = 1

AB
BC
---
AAC

its obvious from 1) that A=1 any 2 digit number will give u 1XX at most..

AB
BC
----
11C

19
92
--
111

B is 9 ...1 is sufficient

A it is

Good way to solve the problem, but....
VP
Joined: 30 Jun 2008
Posts: 1019
Re: DS : KAPLAN : What is B ? [#permalink]

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01 Nov 2008, 09:54
LiveStronger wrote:
fresinha12 wrote:
amitdgr wrote:
If A,B and C are digits and AB is not 0, what is the value of B ?

(1) AB + BC = AAC

(2) A = 1

AB
BC
---
AAC

its obvious from 1) that A=1 any 2 digit number will give u 1XX at most..

AB
BC
----
11C

19
92
--
111

B is 9 ...1 is sufficient

A it is

Good way to solve the problem, but....

@ LiveStronger .. why but ??

Btw OA is A ... nice explanation fresinha
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

VP
Joined: 30 Jun 2008
Posts: 1019
Re: DS : KAPLAN : What is B ? [#permalink]

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01 Nov 2008, 10:02
whooops ............ there's a typo in my question

it is AB + BA = AAC

I'll correct it now ...... sorry guys
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Manager
Joined: 16 Oct 2008
Posts: 54
Re: DS : KAPLAN : What is B ? [#permalink]

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04 Nov 2008, 06:50
amitdgr wrote:
If A,B and C are digits and AB is not 0, what is the value of B ?

(1) AB + BA = AAC

(2) A = 1

I got A,

Stmt 1)
10A + B + 10B + A = 100A + 10A + C
11A + 11B = 110A + C
11B = 99A +C
B=9A + C/11
Obviously that C has to be zero and A must be 1 and B is 9 (if A is 2, B will be 18 which not a single digit)
so A suff,

Stmt 2) insuff because we don't know anything about B and C
Intern
Joined: 30 Oct 2008
Posts: 30
Re: DS : KAPLAN : What is B ? [#permalink]

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04 Nov 2008, 08:57
Here is another approach.

If sum of two digits yields a carry then the carry has to be 1. Based on this, it can be proven that the max carry that can be taken forward during sum of two numbers is also 1.

So A=1 since A is carry forwarded in AAC. Now B+A needs to yield carry else BA+AB = CC.
B+A to yield a carry, when A is 1, B has to be 9

Hope makes sense.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: DS : KAPLAN : What is B ?   [#permalink] 04 Nov 2008, 08:57
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