Question

5m - n = 3m + 4n so m:n=?​

Answer 1

Answer:

+4n

=

7

23

Step-by-step explanation:

We are given that 5m - n = 3m + 4n and we have to find the value of \dfrac{3m + 4n}{3m - 4n}

3m−4n

3m+4n

.

Now, we have, 5m - n = 3m + 4n

⇒ 2m = 5n

⇒ \dfrac{m}{5} = \dfrac{n}{2} = k

5

m

=

2

n

=k (Say.)

So, m = 5k and n = 2k {Expressing the value of m and n in terms of k}

Hence, \dfrac{3m + 4n}{3m - 4n} = \dfrac{3(5k) + 4(2k)}{3(5k) - 4(2k))} = \dfrac{23k}{7k} = \dfrac{23}{7}

3m−4n

3m+4n

=

3(5k)−4(2k))

3(5k)+4(2k)

=

7k

23k

=

7

23