• # question_answer The HCF and LCM of the two numbers x and y are respectively 3 and 105. If x + y=36, then$\frac{1}{x}+\frac{1}{y}$is equal to A)  35                    B)  3 C)  $\frac{4}{35}$             D)  $\frac{1}{35}$

We know that, $HCF\times LCM=$Product of two numbers $\therefore$      $xy=3\times 105=315$ $\therefore$      $\frac{1}{y}+\frac{1}{x}\,\,\frac{x+y}{xy}=\frac{36}{315}=\frac{4}{35}$