Question

m:n=5:9 ,then (m+n)/(m-n)?​

Answer 1

Answer:

m+n =5+9=14

m-n=5-9=-2

Answer 2

The value of (m+n)/(m-n) = 14

Given:

m : n = 5 : 9

To find:

The value of (m+n)/(m-n)

Solution:

Given that m : n = 5 : 9

⇒ m/n = 5/9

Given  $\frac{(m+n)}{(m-n)}$

Take n common from both numerator and denominator

$\frac{(m+n)}{(m-n)} = \frac{n(\frac{m}{n}+1)}{n(\frac{m}{n} -1)}$

⇒  $\frac{n(\frac{m}{n}+1)}{n(\frac{m}{n} -1)}$

⇒  $\frac{(\frac{m}{n}+1)}{(\frac{m}{n} -1)}$

Substitute, m/n = 5/9 in above problem

= $\frac{(\frac{5}{9}+1)}{(\frac{5}{9} -1)}$

= $\frac{(\frac{5+9}{9})}{(\frac{5-9}{9} )}$

= $\frac{5+9}{5-4}$ = 14/1 = 14

The value of (m+n)/(m-n) = 14

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