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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?

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?

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.

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"
_________________

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".
_________________

Re: If a and b are two-digit numbers that share the same digits, [#permalink]

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29 Jan 2014, 13:19

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Re: If a and b are two-digit numbers that share the same digits, [#permalink]

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31 Jul 2015, 05:24

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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