Question 60

If $$\frac{1}{A} : \frac{1}{B} : \frac{1}{C}$$ = 2 : 3 : 4, then what is the ratio of $$A : B : C$$?

Solution

$$\frac{1}{A} : \frac{1}{B} : \frac{1}{C} = 2 : 3 : 4$$
Then, $$A : B : C = \dfrac{1}{2} : \dfrac{1}{3} : \dfrac{1}{4}$$
LCM = 12
= $$\dfrac{6}{12} : \dfrac{4}{12} : \dfrac{3}{12} = 6 : 4 : 3$$


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