Question

If 5m - n =m +2n then the value (4 m+n) : (4 m-n)​

Answer 1

Answer:

5m−n=m+2n

=>4m=3n

=>

n

m

=

4

3

=>m:n=3:4

Let m=3a;n=4a

So, (4m+n):(4m−n)=4(3a)+4a:4(3a)−4a

=>(4m+n):(4m−n)=16a:8a=2:1

Answer 2

$5m - m = 2n + n \\ 4m = 3n \\ \frac{m}{n} = \frac{3}{4} \\ m = \frac{3n}{4} \\ 4(m + n) = 4( \frac{3n}{4} + n) \\ = 16(7n) \\ = 112n \\ 4(m - n) = 4( \frac{3n}{4} - n) \\ = 16 \times - n \\ = - 16n \\ \frac{4(m + n)}{4(m - n)} = \frac{112n}{ - 16n} \\ = - 7$