Remainders

[gmat0000]

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

[shibal]

i think it's easier to get the asnwers given and see which number gives the respective remainders....

[tohellandback]

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

[cata1yst]

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?