• # question_answer 2) If x and y vary inversely as each other. and x = 10 when y = 6. Find y when x= 15, A)  3                    B)         4        C)  2                    D)         6

As $x$ and $y$ vary inversely $\therefore xy=$ constant or ${{x}_{1}}{{y}_{1}}={{x}_{2}}{{y}_{2}}$ $\Rightarrow 10\times 6=15{{y}_{2}}(\because {{x}_{1}}=10,{{y}_{1}}=6,{{x}_{2}}=15)$ $\Rightarrow {{y}_{2}}=\frac{10\times 6}{15}=4$