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If a and b are two-digit numbers that share the same digits,

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If a and b are two-digit numbers that share the same digits, [#permalink] New post 25 May 2010, 05:47
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If a and b are two-digit numbers that share the same digits, except in reverse order, then what is the sum of a and b?

(1) a-b=45
(2) The difference between the two digits in each number is 5.
[Reveal] Spoiler: OA
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Re: Number Properties - DS [#permalink] New post 25 May 2010, 06:04
Expert's post
srichaks wrote:
Q:If a and b are two-digit numbers that share the same digits, except in reverse order, then what is the sum of a and b?
(1) a-b=45
(2) The difference between the two digits in each number is 5.

Please explain your answer in detail including why each choice is right or wrong?

[Reveal] Spoiler:
OA:E


Any two digit integer n can be expressed as n=10x+y, where x and y are digits, x>0.

Given: a=10x+y and b=10y+x. Q: a+b=11(x+y)=?

(1) a-b=10x+y-10y-x=45 --> x-y=5. Multiple choices for x and y: (9,4), (8, 3), (7, 2), (6, 1). Not sufficient.

(2) x-y=5. Same info as above. Not sufficient.

(1)+(2) No new info. Not sufficient.

Answer: E.
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Re: Number Properties - DS [#permalink] New post 25 May 2010, 17:42
Thanks Bunuel!. Great explanation.
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Re: Number Properties - DS [#permalink] New post 25 May 2010, 20:38
I realized I posted this Q in PS section, Please move this to DS section.

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Re: Number Properties - DS [#permalink] New post 25 May 2010, 21:55
srichaks wrote:
Q:If a and b are two-digit numbers that share the same digits, except in reverse order, then what is the sum of a and b?
(1) a-b=45
(2) The difference between the two digits in each number is 5.

Please explain your answer in detail including why each choice is right or wrong?

[Reveal] Spoiler:
OA:E


what does "except in reverse order" signifies here?
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Re: Number Properties - DS [#permalink] New post 26 May 2010, 01:48
IMO A

diffrence betwn two numbers is 45, which is possible only with 49 and 94
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Re: Number Properties - DS [#permalink] New post 26 May 2010, 03:24
IMO is E.

Not A since even difference between 61 and 16 gives 45.
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Re: Number Properties - DS [#permalink] New post 29 May 2010, 06:09
I dont understand the "except in reverse order" part???????
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Re: Number Properties - DS [#permalink] New post 29 May 2010, 06:20
Expert's post
hardnstrong wrote:
I dont understand the "except in reverse order" part???????


It means that if digits in a are xy, then in b the digits are yx (in reverse order).

According to the solution above there are 5 pairs of a and b possible satisfying both statements (94 and 49, 83 and 38, 72 and 27, 61 and 16). So multiple answer to a+b. Not sufficient.

Hope it's clear.
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Re: Number Properties - DS [#permalink] New post 30 May 2010, 05:27
Bunuel wrote:
hardnstrong wrote:
I dont understand the "except in reverse order" part???????


It means that if digits in a are xy, then in b the digits are yx (in reverse order).

According to the solution above there are 5 pairs of a and b possible satisfying both statements (94 and 49, 83 and 38, 72 and 27, 61 and 16). So multiple answer to a+b. Not sufficient.

Hope it's clear.



This is the confusing part in this question............ except in reverse order means they cannot be in reverse order (so if a = xy then b cannot be yx)

Dont you think "except in reverse order" takes question is completely different direction, or should it be "in reverse order"
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Re: Number Properties - DS [#permalink] New post 30 May 2010, 05:40
Expert's post
hardnstrong wrote:
Bunuel wrote:
hardnstrong wrote:
I dont understand the "except in reverse order" part???????


It means that if digits in a are xy, then in b the digits are yx (in reverse order).

According to the solution above there are 5 pairs of a and b possible satisfying both statements (94 and 49, 83 and 38, 72 and 27, 61 and 16). So multiple answer to a+b. Not sufficient.

Hope it's clear.



This is the confusing part in this question............ except in reverse order means they cannot be in reverse order (so if a = xy then b cannot be yx)

Dont you think "except in reverse order" takes question is completely different direction, or should it be "in reverse order"


Not a perfect wording - agree. "except in reverse order" here means "but in reverse order".
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Re: If a and b are two-digit numbers that share the same digits, [#permalink] New post 29 Jan 2014, 12:19
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Re: If a and b are two-digit numbers that share the same digits,   [#permalink] 29 Jan 2014, 12:19
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