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If A : B : C = 2 : 3 : 4, then \( \Large \frac{A}{B} : \frac{B}{C} : \frac{C}{A} \) is equal to

A) 8 : 9 : 16
B) 8 : 9 : 12
C) 8 : 9 : 24
D) 4 : 9 : 16

Correct Answer:



C) 8 : 9 : 24

Description for Correct answer:
A : B : C = 2 : 3 : 4

Therefore, \( \Large \frac{A}{B} : \frac{B}{C} : \frac{C}{A} \)

\( \Large \left[ Multiply\ with\ ABC \right] \)

Therefore, \( \Large \frac{A \times ABC}{B} : \frac{B \times ABC}{C} : \frac{C \times ABC}{A} \)

\( \Large A^{2}C : B^{2}A : BC^{2} \)

=> \( \Large \left(2\right)^{2} \times 4 : \left(3\right)^{2} \times 2 : 3 \times \left(4\right)^{2} \)

=> 16 : 18 : 48

=> 8 : 9 : 24

Part of solved Elementary Mathematics questions and answers : >> Elementary Mathematics

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Similar Questions

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