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Remainders

by gmat0000 » Wed Jul 01, 2009 3:34 pm
Hi,
Can someone please explain this remainder problem.

I reached up to the part 17T - 13Q = 2, but I don't know how to solve further.

When a number is divided by 13, the remainder is 11. When the same number is divided by 17, the remainder is 9. What is the number?

[spoiler]ans: 349[/spoiler]

Thanks in advance
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by shibal » Wed Jul 01, 2009 4:04 pm
i think it's easier to get the asnwers given and see which number gives the respective remainders....
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by tohellandback » Wed Jul 01, 2009 7:16 pm
its better to solve this question by looking at the answer options.
Of course it can be solved using euclidean algorithm but thats a long process..

and just to let you know..349 is not the only number
349, 349+221,349+2*221,....they all satisfy the criteria
The powers of two are bloody impolite!!
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by cata1yst » Thu Jul 02, 2009 9:41 am
tohellandback wrote:its better to solve this question by looking at the answer options.
Of course it can be solved using euclidean algorithm but thats a long process..

and just to let you know..349 is not the only number
349, 349+221,349+2*221,....they all satisfy the criteria
How do you solve for 349?
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