1.\(\[\begin{array}{c@{}c@{\;}c@{}c@{}c@{}c} & & & Y& Y & X_6\\ & & & 4 & 1 & Y_6\\ & & + & X & 1 & 5_6 \\ \hline & & X & 1 & 5 & 2_6 \\ \end{array}\]\)
find X and Y in terms of base 6
2. For how many positive integers b does the base-b representation of \({2525}_{10}\) end in the digit 5?