• # question_answer The product of two numbers is 936. If their ratio is 13 : 18 then the smallest number is A) 39                    B)          36 C) 54                    D)          26

Let $\frac{13}{19}\,=\frac{x}{y}$   (fraction form) $\Rightarrow$            $13y=18y$ $\Rightarrow$            $y=\frac{18}{13}x$. Product = 936 $\frac{18}{13}{{x}^{2}}=936$ ${{x}^{2}}=\frac{{{\bcancel{938}}^{52}}\times 13}{{{\bcancel{18}}_{1}}}$ ${{x}^{2}}=52\times 13$ $x=\sqrt{13\times 13\times 2\times 2}$ $x=26$