Question

If $\frac{1}{4}x=5-\frac{1}{2}y$, what is the value of $x+2y$?

Answer 1

Given, $\frac{1}{4}x=5-\frac{1}{2}y$

$\Rightarrow \frac{x}{4}=\frac{10-y}{2}$

$\Rightarrow \frac{x}{2}=10-y$

On cross multiplying, we get

$x=2(10-y)$

$\Rightarrow x=20-2y$

Add $2y$ on both the sides, we get

$x+2y=20-2y+2y$

$\Rightarrow x+2y=20$