Question

if 1/a:1/b:1/c = 3:4:5 then find a:b:c

Answer 1

I hope it helps you........

Answer 2

Answer:

a:b:c = 20:15:12

Step-by-step explanation:

$\frac{1}{a}:\frac{1}{b}:\frac{1}{c}= 3:4:5$

$Let \frac{1}{a} = 3x\implies a = \frac{1}{3x}\:--(1)$

$\frac{1}{b} = 4x\implies b = \frac{1}{4x}\:--(2)$

$and\\ \frac{1}{c} = 5x\implies a = \frac{1}{5x}\:--(3)$

$Now , a:b:c = \frac{1}{3x}:\frac{1}{4x}:\frac{1}{5x}$

/* LCM (3x,4x,5x) = 60x */

/* multiply each term by 60x ,we get */

$a:b:c = \frac{60x}{3x}:\frac{60x}{4x}:\frac{60x}{5x}$

$=20:15:12$

Therefore,

a:b:c = 20:15:12

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