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Manipulation of a linear equation

If 3A = 4B = ...

Question

If 3A = 4B = 6C, find A : B : C is 4 : 3 : 2

True

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False

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Solution

The correct option is A True
$3 A = 4 B = 6 C$
$3 A = 4 B => \frac{A}{B} = \frac{4}{3}$
This means, $A : B = 4 : 3$
$4 B = 6 C => \frac{B}{C} = \frac{6}{4} = \frac{3}{2}$
$=> B : C = 3 : 2$

The value of B in $4 : 3$ is equal to the value of B in $3 : 2$

Therefore, $A : B : C = 4 : 3 : 2$

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