Question

$5^{x-y}.3^{2x-y}=135$.Find the value of $x$ and $y$.

Answer 1

Given,

$5^{x-y}.3^{2x-y}=135$

$\Rightarrow 5^{x-y}.3^{2x-y}=5\times 3^3$.

Comparing both sides we get,

$x-y=1$.....(1)

$2x-y=3$....(2).

Now (2)$-$(1) gives $x=2$.

Then $x=2$ gives $y=1$.