Question

For any two numbers m , n ; (m+n) : (m-n) : mn = 7: 1: 60 . Find the value of 1/m : 1/n
A) 4:3 B) 8:7 C) 3:4 D) 7:8

Answer 1

Answer:

3:4 is your answer..

Step-by-step explanation:

$\frac{m+n}{m-n}=\frac{7x}{x}$  ⇒ $\frac{m}{n} =\frac{4x}{3x}$

Again $mn = 12x^2$

and mn = 60x

so, $60x = 12x^2$  ⇒ $x=5$

=>  m= 20  and    n= 15

Hence,  $\frac{1}{m}:\frac{1}{n} = \frac{1}{20}: \frac{1}{15}= 3:4$