Question

Cho x, y thỏa mãn:

x-2015/2015=y-2014/2014. Khi đó x/y =.............................?

Answer 1

\(\frac{x-2015}{2015}=\frac{x-2014}{2014}\Rightarrow x-\left(2015\cdot2014\right)=y-\left(2015\cdot2014\right)\)=\(x-4058210=y-4058210\)do tích trung tỉ = tích ngoại tỉ ta có:

\(2014x\cdot4058201=2015y\cdot4058201\)=\(\frac{2014x}{2015y}=\frac{4058201}{4058201}=1\Rightarrow\frac{x}{y}\cdot\frac{2014}{2015}=1\Rightarrow\frac{x}{y}=\frac{1}{\frac{2014}{2015}}=1\cdot\frac{2015}{2014}=\frac{2015}{2014}\)