If 3A = 7B = 13C, then A : B : C is equal to ?->(Show Answer!)

1. If 3A = 7B = 13C, then A : B : C is equal to

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By: anil on 05 May 2019 02.17 am

Let $$3A = 7B = 13C = k$$ => $$A = frac{k}{3}$$ , $$B = frac{k}{7}$$ , $$C = frac{k}{13}$$ => Ratio of A : B : C = $$frac{k}{3} : frac{k}{7} : frac{k}{13}$$ = $$frac{1}{3}$$ : $$frac{1}{7}$$ : $$frac{1}{13}$$ L.C.M. of 3,7 and 13 = 273, thus multiplying by 273, we get : = $$frac{273}{3} : frac{273}{7} : frac{273}{13}$$ = 91 : 39 : 21 => Ans - (D)

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