How do I solve these kind of quadratic congruence problems?!

x^2 is congruent to 53 mod 143

I said 143=11x13

so x^2 is congruent to 53 mod 11 AND x^2 is congruent to 53 mod 13

where do i go from there?! Please any help would be great..My final is tomorrow and this is the only thing that is confusing me!!