Question

If m+n÷m+3n=2÷3 find 2n^2÷3m^2 +mn

Answer 1

$\frac{m + n}{m + 3n} = \frac{2}{3}$
3m + 3n = 2m + 6n
m = 3n
$\frac{n}{m} = \frac{1}{3}$
$\frac{ {n}^{2} }{ {m}^{2} } = \frac{1}{9}$
$\frac{2 {n}^{2} }{3 {n}^{2} } = \frac{2}{27}$

Answer 2

Answer:1/15

Step-by-step explanation:

m+n/m+3n =2/3

Cross multiply

3m+3n=2m+6n

m=3n

m/n=3/1

Or

m:n=3:1

Take m=3k

n=k

2n^2 ÷ 3m^2 + mn

Now substitute the value of m and n in the given equation :

As done in the picture attached