If A-B-C - 2-3-4- then A-B- B-C- C-A is equal to

The correct option is A 8:9:24 nbsp; Let A = 2x, B = 3x and C = 4x Then, A/B nbsp;= 2x/3x = 2/3 B/C = 3x/4x nbsp;= nbsp;3/4 C/A = 4x/2x = nbsp;2/1 → ...

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Byju's Answer

Standard X

Mathematics

Ratio

If A:B:C = 2:...

Question

If A:B:C = 2:3:4, then $\frac{A}{B} : \frac{B}{C} : \frac{C}{A}$ is equal to _________________

8:9:24

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8:4:24

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Solution

The correct option is A
8:9:24

Let A = 2 $x$ , B = 3 $x$ and C = 4 $x$

Then, $\frac{A}{B}$ = $\frac{2 x}{3 x}$ = $\frac{2}{3}$

$\frac{B}{C}$ = $\frac{3 x}{4 x}$ = $\frac{3}{4}$

$\frac{C}{A}$ = $\frac{4 x}{2 x}$ = $\frac{2}{1}$

$\to$ $\frac{A}{B} : \frac{B}{C} : \frac{C}{A}$ = $\frac{2}{3}$ : $\frac{3}{4}$ : $\frac{2}{1}$ = 8:9:24

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If A:B:C = 2:3:4, then AB:BC:CA is equal to _________________

The correct option is A 8:9:24 Let A = 2x, B = 3x and C = 4x Then, AB = 2x3x = 23 BC = 3x4x = 34 CA = 4x2x = 21 → AB:BC:CA = 23:34:21 = 8:9:24

If A:B:C = 2:3:4, then $\frac{A}{B} : \frac{B}{C} : \frac{C}{A}$ is equal to _________________