if (2a-5)/a-(4b-5)/b+(6c+5)/c=0 , what is the value of (1/a-1/b-1/c) ?

if (2a-5)/a-(4b-5)/b+(6c+5)/c=0 , what is the value of…

if $\frac{2a-5}{a}-\frac{4b-5}{b}+\frac{6c+5}{c}=0$ , what is the value of $(\frac{1}{a}-\frac{1}{b}-\frac{1}{c})$ ?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. $\frac{4}{5}$ .

$\frac{2a-5}{a}-\frac{4b-5}{b}+\frac{6c+5}{c}=0$

⇒ $\frac{2a-5}{a}-\frac{4b-5}{b}+\frac{6c+5}{c}=0$

2 - (5/a) - 4 + (5/b) + 6 + (5/c) = 0

⇒ ${5 \over a} - {5 \over b} - {5 \over c}$ = 8 - 4

⇒ $(\frac{1}{a}-\frac{1}{b}-\frac{1}{c})$ = $4 \over 5$