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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
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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
_________________

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

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Current Student
Joined: 28 Dec 2004
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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

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Senior Manager
Joined: 21 Apr 2008
Posts: 269

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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....

Kudos [?]: 165 [0], given: 0

VP
Joined: 30 Jun 2008
Posts: 1034

Kudos [?]: 707 [0], given: 1

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

Kudos [?]: 707 [0], given: 1

VP
Joined: 30 Jun 2008
Posts: 1034

Kudos [?]: 707 [0], given: 1

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

Kudos [?]: 707 [0], given: 1

Manager
Joined: 16 Oct 2008
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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

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Intern
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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.

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Re: DS : KAPLAN : What is B ?   [#permalink] 04 Nov 2008, 08:57
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