For any two numbers \[m,\,\,n;\,\,(m+n):(m-n):\]\[mn=7:1:60.\] Find the value of |
A) 4 : 3
B) 8 : 6
C) 3 : 4
D) 7 : 8
Correct Answer: C
Solution :
\[\frac{m+n}{m-n}=\frac{7x}{x}\] |
\[\Rightarrow \]\[\frac{m}{n}=\frac{4x}{3x}\] [by componendo and dividendo] |
Now, \[mn=4x\times 3x=12{{x}^{2}}\] |
But \[mn=60x\] |
\[\Rightarrow \] \[60x=12{{x}^{2}}\]\[\Rightarrow \]\[x=5\] |
\[\therefore \] \[\frac{1}{m}:\frac{1}{n}=\frac{1}{20}:\frac{1}{15}=3:4\] |
You need to login to perform this action.
You will be redirected in
3 sec